{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "a24421d1",
   "metadata": {},
   "source": [
    "# Theta model "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "65c5226b",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import statsmodels.api as sm\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "419acc7b",
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.rcParams[\"figure.figsize\"] = (9,6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a4a81c6e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>co2</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1958-03-29</th>\n",
       "      <td>316.1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1958-04-05</th>\n",
       "      <td>317.3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1958-04-12</th>\n",
       "      <td>317.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1958-04-19</th>\n",
       "      <td>317.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1958-04-26</th>\n",
       "      <td>316.4</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              co2\n",
       "1958-03-29  316.1\n",
       "1958-04-05  317.3\n",
       "1958-04-12  317.6\n",
       "1958-04-19  317.5\n",
       "1958-04-26  316.4"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = sm.datasets.co2.load_pandas().data\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "dc50336f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "ax.plot(df['co2'])\n",
    "ax.set_xlabel('Time')\n",
    "ax.set_ylabel('CO2 concentration (ppmw)')\n",
    "\n",
    "fig.autofmt_xdate()\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "33c7bd00",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "co2    59\n",
       "dtype: int64"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.isnull().sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "080dd290",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "co2    0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = df.interpolate()\n",
    "\n",
    "df.isnull().sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "a2b2da04",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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tRyAkhbXRFakreWUO6cyemOOnDpdP/M/0lGvVJg/MBwBsqe0AABRm6z/P11sx5BERERERUQL1mblAKIwqudFJukpeszt2zMKpw4tjnqcaofC3j/YBAIaX5CQ0bIknGqa0y6FS/K8904zzJ1akXKs2paog5nlhtlX32t6qb/cGJSIiIiKio0Jdabtj7hhUFUkhrybNmbxNNe0AgMVXT0OXP4RvTBsY8744kxcIRRAIhWPm6m06LFXTRJUulQI5jInZeE1yRa/IYEgrzbOhJNeGZnl9YQ5DHhERERER9UPegNS85O55Y/E/pwyGU26g0uzyweMPItuaGCU2H25XHk8ZVIDBxdkJnxGVPEAKkuqQJ4at33TmiLT3J7ZVijWiActAuSGLEcU5ViXkpWsI0xdwuyYRERERESUQYWdCZT5MJlPMgPFXNhzWXCOqeABQVaQdtqyqULdFrtwJYstlaZ6OSp7cFVMMaBcNWERDFiPUwVP9e+irGPKIiIiIiCiB2K6ZZU2MDL9+Y5vmmgPN0nm97502DCaTdodK9eu3v7RReRyJRNAub70s0LHlMs9ugbhUe5f/K1Xy1CMXfjFvrOH1vQ1DHhERERERxdha24GDLVJgUzdAOWtMadI1kUgEz3xyAAAwqjx1Z0yhVdWkpSsgVeQAoCArfYdLszlaXezwBFSVvMQtoumU5EZD5dUnDTa8vrdhyCMiIiIiohjzF69WHufZo2fv/njZZADSwPBAKHbg+BeH2pTH0wYXprx+sdzc5MLJA5TXREMXh92ijFlIJxSWxi18tLsJR+SQV1lg17VW7bY5ozC1qgCLLp0Ecx+fkQcw5BERERER9WstLt9XaiaSY4uGvJJcGzLMJoQjsVU4AKhujo5WGF2el/KaP5kzCkBsUKxucQMAhpbkJN3qGa9TbgZz/5s7lPN8Jbnpz/PFmz6kCK//aBauPrnvV/EAhjwiIiIion6rwenFqYvex7eeWtfta+SqQp7ZbFK2NjY6fTGfa+yUnl8aNzJBi+jM6fZFw2d9hxeAscYpI0pzAACZGSa0yV0283Vs9ezvGPKIiIiIiPqpNzbWIhCK4ItD7YhEIt26hs0SGxlE58smlzfm9cZO6XmZI/12yRx5O6bHH1Rea5FHGBipxD0gbx8tzrEpzVMKshnyGPKIiIiIiPqhLn8Iv39rp/K8Td7OmE4w7qxd/NbJUjmENXVqV/LKdIw/yLbFVvIikQj+/MFeAMZCmjjbV++UAmaG2RRTeTxeMeQREREREfVDb26pi3kuKm3pqMcJaFEqefEhzykqeelDnhhkLoKhsyta0QuE9Fcci+OqfkOKs3Wf5+vPGPKIiIiIiPqh3Q2dMc/jz9Alow55PzlnVML7SUOeUslLv11zSJF0lq7Z5YPbF0SzO3qtb88Yous+AakTZ2ZGNNTNGVeue21/xpBHRERERNQPiUYmQoNTbyVP2kJpzTDj9nNHJ7wvzsw1u6LdNSORiBIi9WzXzM/OVKp5B1s8aJGvNbQ4G5UGGq+YTKaYyl9pNzpr9kcMeURERERE/ZA4pyYapzR26qvkeQPhmHXx8uxSOOv0RbdYunxBdMljGvRs1wSkUQkAcLDFrTRdid9+qYd6rN3ZY5MPaz+eMOQREREREfVDonI3eVA+gMTtlcms3tsMALBlakeFXKVpSjTkiQCZa7Mo4xHSGVKUDQA42OpBszxzTzRSMeJn542FzWLG3fPGYmRZ6vl8xwu2niEiIiIi6mcikQjqOkTIK8Dn1W26G6/c+/pWALHbMdVEyHN5oyHvcFsXAKBcZxUPiFYEPf6QMqy9ONd4yLv5rBG4+awRhtf1Zwx5RERERES9VF1HF8IRYwPCAaDdE4BfbqAycaADgL7GK6Fw+s6WuXY55KkqeVsOtwMAJlTm677HzAypUhgIhZWqYHEOz9T1BG7XJCIiIiLqhQKhMGYs+gCzHvhAqXTp1SyfccvPykRVobQt8lCrB+E0IU5PcxZRyatt71JC4YFmDwBgTIX+7ZKiK2YwFMahVml9dyp5lIghj4iIiIioF1I3SqlucRtaKwafF2ZnYkJlPhx2Cxo7fVi5uzHlutr2rrTXLlKdm1u3vwVANBxWONKPTxBEJc8XDOMT+RzgSUOLdK+n5BjyiIiIiIh6IfUIhGq5UqZXm0c6T1eQbUWWNQMXTx0IAFi1pznlus8OtCqPr581TPMz6pAnvkd08qzI1x/yLHIlr9XtV8YgjC5n45SewJBHRERERNQLqUPeU6v2IxJJf15OaJfDlwhkw0ulcQWptmMebvPgT+/sUj5/9wVjk372jNHSqAJ/MIxIJIJaufHKAAMhT1Ty/ru5DgBgzzTDmmRsAxnD/4pERERERL3Q79/aoTzecLBNCUN6iO2aBfLAcbGNsq4jech7/cta5fEfLpushDAtVtVWyxa3H12BEEwmYGCh/gYx4kye4JC7bdJXx5BHRERERNTLBELhhPNx721v0L1ebKMszJYqeYOLpeYrO+qccHoDmmu+PNQOAPj1/PFpz8aJGXq+QCg6PiHPDpslQ/c9WsyxUUTvsHZKjyGPiIiIiKiXOdiSeAZPPbIgnTa3CHlSdWz8AAfKHTZ4A2HsaejUXCPC2qjy3LTXt1milbwauTPmIANVPADI5NbMo4b/ZYmIiIiIepkr/7Y24bXOJBU4LdHtmlIlz2QyYZA8SqEhybw8ESLzdGybFBW7/7e+BjVtUsirKsrWfX8AkGmO3a557vhyQ+spOYY8IiIiIqJepkWuxAHAWHn2XKdXXyUvEokoVTmxXRMAyvKkQeONSZqviJAn5uClsrdRqgbua3Ir31VltJIXd+bvB2cMN7SekmPIIyIiIiLqRZ5etT/m+R8umwwAcHbpq+T97r/bsaPOCSC6XRMAyuXmKw0aZ98ikYiqkpc+5LWqQuh/Nh0BAAwyWMkzxRbykJ/Fxis9hSGPiIiIiKgXuf/NHTHPHXL40VvJ+/sn1crjQtVMuzKHqOQlhjxfMIxQWBrRkKOjkqce5iDua7DBkOdWnTE8ZVgRhpemPwtI+jDkEREREREdBb5gCL5g6Ctd48XvnaJU4zp9wbTNV0RQE2K3a0qVvMbOxO2aIqiZTEB2ZvoOmb5AOOG1dB05E75T9Xt56QczkBF3Ro+6jyGPiIiIiKiHtXv8mLHoA8x64AN0ePQ3TFEPK//z1dMwa2QJCrKtqJSHjG853JFy/S9e3RzzvCBmu6Yt4TuEZpdU3cvPyoRZR9j66bmjY54vmFJpOKQFQ/qHu5MxDHlERERERD1sV30nWt1+NLv8+H/ra3SvO/+Rj5XH06oKlMejyqXmK2JcQTKvbDisPJ47vhx2VVUuWslL3K759tZ6AMCQ4hxd93nZ9EFQZ7oTBhck/Wwy15wyGIOLsnHL7JGG11Jq6TfcEhERERGRLuFwBD9/dTPqOqKDzBe+tQM36uwc2aaq+pXK3TABVWdMja2WagMLslDb3oUbTx+GX144PuY9Uclr9wTgDYRiAuAKedB6aa4Neo2vdGBrrdTg5dQRxbrXCcW5Nnz887MNr6P0GPKIiIiIiHrIF4faYqppRoTjztPFVOFE0xSNKpxallVaM3ts4sy5/KxMWC1m+INhNHX6YubaiW6Zl584SPf9qrthDnAYG59ARxe3axIRERER9RBT/FwAmZ4GLN4Un1G2WiYZZA4A/mAYextdAIAcW2LzFJPJpFkRDIUjaJLP5E1VbRFNp8sfvV9HFmtHvQlDHhERERFRD0nWfKTNnb75ikcVmv74zckx7+nZrvnCuoPK42yrduhSZuWpwmKL24dQOAKTCSgxsF1z5ogSAEBxjjVpuKVjg5GbiIiIiKiHBEKJowUAqXtlhdwhMxlRGbNnmnHFiVUx75U5kjdNEVbvbVYea1XygGhY/OvKvbhg0gAAgNsnfW+u1WKoQ+YPzhyOHJsF35yuf4snfT0Y8oiIiIiIekggqB3yWuQzb6mIKp3FnLjZLlrJ8yESiWhWzjIzoq9lZ2r/mF+cK83NU8+5E0PJs5MEw2Ty7Jm4+awRhtbQ14PbNYmIiIiIeogvrpInCmMtrtQNUwDgT+/sAgDNgeei06Y/GIazS3sgunpLaL5qPp7alScOBhAdfg5Et4nmJNniSX0PQx4RERERUQ+Jr+TNn1wJAGhK0xUTADYcbEv6nj0zQ+lm2aBxLm9PQyc+q25FhtmENXfNTnqdPLsU5JzeaCB0+7tXyaPeiyGPiIiIiKiHBEKxYxBGluUCiD0vl8y0wYUAgHvnj9d8X9myqdFh8/NqKSDOHFGMyoLk4wwcclD0+EMIylVHj3wmL1mzFup7GPKIiIiIiHqIuvHKj88eibPHlAEAdtQ5064V1b6JlQ7N90Ulz+WL7dTpC4Zwz7ItAKKhMhlRyQOiWzbFmbwcKyt5/QVDHhERERFRD/HLIe/sMaW487wxGFwsDRxvdvnh8WufpRNEyBPn7+KJQeddgdh5esu+qFUeDyvJSfkdmRlm2DOlCCDO/rmUxius5PUXDHlERERERD1EVPIyM6Qfs/OzMuGQq2c1rV1J13n8QSVsJQt59kwp5HkDsef+1J07xw/QrgKqiW2ZIiy2d0mVwcIkzVqo72HIIyIiIiJS2VHnxKMr9sAbVzFLp8MTUDpkZlqiP2aLal5Nqyfp2uZOKajZM83ITVJRy5JDXpc/9r5E+AOAKVUFae8z/jodHum7C7KsaddS38CQR0RERESkMu/RVXh4xW78+f09htb96o2taPdIVTFrRvTH7KpCKeQdShHyNh1uBwAMyM/SnIEHADY5OP5h+c6Y1zvlTpnXnDJYqSCmIrZrikrec2sPAoie+aO+jyGPiIiIiEjDU6v2G6rmrVF10FQPJq8qkit5bclD3oufSkHroskDkn7my5p2AIAvbkyDmJuXZ9cX0tRn+xpV4xjCkUiyJdTHMOQREREREWkIhCK469XNuj+vjkg2S3QLpRLyklTyvIGQMiPvsumDkl6/UzXbLhSOfpuYeafunJmK2K7p9YeUbaIAcNGUSl3rqfdjyCMiIiIiSuL1jUd0fzaiqoRlqcYRVBVKc+uSNV5Zu78FgVAEJblWDJYDoZagagafusNmm9x4pShH35k6pYFLMIRWee2Y8ryU8/Wob2HIIyIiIiLqAepKnroZymDVds2IxpbIzw+0AgBmjy1Leh4PAG6ZPVJ57PFFxzE0y0GtWGfIq++Qtmj+3zu70eKWxjYU57LpSn/CkEdERERE1APU+S1LFfIGFmbBZAI8/lDMuANBDCMvd9hTXv/bM4ZG16g6bLYqQU179EK8PY0uAEBtexeaXX5Da6lvYMgjIiIiIpKpz7oBQEWa4KWmblySlRn9MdtmyUBhtlQpa3FphDw5sIn5dcmYzSblfkQwDIbCaHTKQ9R1BrU7zh0NQGoO0+KSA6LOKiD1DQx5RERERESydk9iCNNLHRDVZ/IAoEAeNN6qUcnz+KXAlmPLSHgvXrb8GRHy9jS64AuGkWezYFChvjN1Z4wuBSCFQhE6S7hds19hyCMiIiIikn1e3RrzvN7p1TxHF88XDMGj2kJpQuzZuiK5ktemESLdPn2VPCA6y05c52CLGwAwsjwXZnPy83xqIoB6AiEc6ZCawRTlcLtmf8KQR0REREQke2HdIQDA0OJol8vXN9amXffcmuqY503yNkihMCd5yFMqedb0lTyxXVM0T2lWKnH6Q5o4L9juCWDNvhYAwAlDCnSvp96PIY+IiIiI+pVwOKJsZzSirqMLq+WB5gumDsSpw4sAAG9urk+79rUvYoPgtKqCmOdKJU+z8YpcybOlr+SJ5iyPvL8HQHT7p5HtltmqMBkKR5CZYcKY8jzd66n3Y8gjIiIion7l2mc+xRl//BBH2rXn0iXz7CfVyuNzx5XjZ+eNAQBsPtyedu3YimhIev6GkzFjRHHM+wU54kxeAPFE1a9QPreXihisHpbP/zXLa/XOyAMSt4XmZ1lTjm6gvochj4iIiIj6lU/2tqDF7cdfV+41tE4ddCry7RhekgsAaOz0wR8Mp1wrhpP/6sJxOH1UaUJoSnYmz+ULoqlTCmpDinPS3uMFkypivm9nXScAYKiOtYI90wz17VkzGPD6m2Ma8h5//HFMnjwZDocDDocDM2bMwNtvvx3zmR07dmDBggXIz89HXl4eTj31VBw6dEh53+fz4ZZbbkFJSQlycnKwYMECHD58+Ov+rRARERFRL6BuknKk3WtobSgcDXKleTbkZ2UiQ25monWWTk10qaws0O5wKc7kxXfX/OyAdCauJNemNFVJJTtTqsIFQhEEQmHsrHcCACYNyk+7VjCZTChWNVo50mHsvxP1fsc05A0aNAgPPPAA1q9fj/Xr12P27Nm4+OKLsW3bNgDAvn37cNppp2Hs2LFYuXIlNm3ahHvvvRd2e3ReyW233YZly5Zh6dKlWL16NVwuF+bPn49QKJTsa4mIiIioF9t+xImaVk+31noD0aDW2GksvIhB5XfNGwtAmkuXar6d4PQGsP5gG4Dk2yZFgHN6Y7drrpUbn5w3oVzXPdqt0R/fXd4gnF7p7KHeGXnCgPzoz9OV+fpnAVLfkP5051F00UUXxTxfuHAhHn/8caxbtw4TJkzAL3/5S1xwwQX44x//qHxm+PDhyuOOjg4sWbIEzz//PObMmQMAeOGFF1BVVYUVK1bgvPPO+3p+I0RERETUI1pcPlzw51UAgAOLLjB8Vkx0qgSkEGTsu6Ugpx4MXpJrRbPLl9AtU+2+/2yP+bwWu9zRUh1CAaC6RQqzYyr0NT6xZpiRYTYhFI6g3hkNsXqqgGoV+XZsqe0AAPz+0kmG1lLv12vO5IVCISxduhRutxszZsxAOBzGm2++idGjR+O8885DWVkZTjnlFLz++uvKmg0bNiAQCGDu3LnKa5WVlZg4cSLWrFmT9Lt8Ph+cTmfMLyIiIiL6atbsbca1Sz5VZrd1xyFVBU8EICMWfxA9h9fmSWxykkqLWwpyxaqgNlDefpmqsvjyhuhRoeIk8+bsFunHbl8gdreZ+G+l5zweIG21zJYDY5084y7PZoElw9iP9epumgXZHITe3xzzkLdlyxbk5ubCZrPhpptuwrJlyzB+/Hg0NjbC5XLhgQcewPnnn493330Xl1xyCS699FJ89NFHAID6+npYrVYUFhbGXLO8vBz19clb3S5atAj5+fnKr6qqqqP6eyQiIiI6Hnzr6U+xak8zbn9pY7evIcYJAMD+Jpfh9c+q5tV1dAWwZl+z7rXRSl40qA0tkcJXdXPy4JqnGn2QrKIWreRFf3/hcAQH5SCrnsuXjhhm/sXBduk7dXTljDdVNeLBYT+mm/voKDjmIW/MmDHYuHEj1q1bh5tvvhnXXXcdtm/fjrB88PXiiy/G7bffjqlTp+Kuu+7C/Pnz8cQTT6S8ZiQSSVnav/vuu9HR0aH8qqmp6dHfExEREdHxrNbg6AJh+dY63Lr0S+V5i8ZMuVTEWAG1e1/fqnu9+D71uTpRyatzJj/flyF3p3z5phkwm7V/BlVCnqpLZ53TC18wDIvZpHyPHrZM6Uf4xz6UqpZjdW71VJuiDnkGt3pS73fMY7vVasXIkSMBACeeeCI+//xzPProo1i8eDEsFgvGjx8f8/lx48Zh9erVAICKigr4/X60tbXFVPMaGxsxc+bMpN9ps9lgsxk7nEpERERE+kQSs1ZazS4fbnrhi5jXtAaHp9KpMQA92fbJeOv2tyhjEvJUla3SPGm9GHMQLxyOoKNL2hY6JEU1zi4HM3Ulb8th6UzcqPI8Q9st82yZAKJB+jszh+leK5Tm2XDrOaPg8QVRYrBpC/V+x7ySFy8SicDn88FqteKkk07Crl27Yt7fvXs3hgwZAgCYPn06MjMz8d577ynv19XVYevWrSlDHhEREREdPd3IeHB2JZ6fa00ztiBeh8YZvIGF+ipkVz25Tnksqm4AUCaHvOYkIe/LmjZEIlKIK0xxtk29XVOMedh2RAp5kwfqH38AAJefOEh5nGuzYNbI4hSfTu6n547Gr+aPT/9B6nOOaSXvnnvuwbx581BVVYXOzk4sXboUK1euxPLlywEAP/vZz3DllVfijDPOwNlnn43ly5fjP//5D1auXAkAyM/Pxw033IA77rgDxcXFKCoqwp133olJkyYp3TaJiIiI6OvVnUpeVyBx/FVrirEFWtSz7P5w2ST84tUtaDcYFAHAZonWQUQlrzFJyNssV+NOH1WKzBTVOLtFCnnhiDTjzmoxYVe9NMh87ABj2y1zVWcAJw/KN9yBlPq/YxryGhoacO2116Kurg75+fmYPHkyli9fjnPPPRcAcMkll+CJJ57AokWLcOutt2LMmDF49dVXcdpppynXePjhh2GxWHDFFVegq6sL55xzDp599llkZGQk+1oiIiIi6mGiKiUxnvK0xh2kG0Aer12uBo4b4EBRTupwloo6NImQ5/IF4fEHkW2N/fH5/jd3AAAGpakYinN0APDBzkacP7ECexqlxjKjy42FPPV20lkjSwytpePDMQ15S5YsSfuZ66+/Htdff33S9+12OxYvXozFixf35K0RERERkQHf/fvnyuPuVPLc/sSQZ7Txys9f2QQAsJhNSjOS3Q2d8AZCMVswjci1WWDPNMMbCKO504/BxdEfn3fUORGSm71oNX1RU1cHb3phA3bedz6q5fEJRkNejqqSV1nAQeaUqNedySMiIiKivkddMQt3I+V1alXyDIS8SCSCBqd0D1tqOzCoMAvWDDMCoYjhsKhmMplQlicFqYbO2A6b245EZy1/c3rqkVzxWyqbOn3KWb5kA9STUW/XLHcw5FEihjwiIiIi6lF+1ZgAvbRCXquBcBb/WZPJpNnRUku694eXSrPydtQ5Y14XzWLOm1COSYOMNU8Rlctcm8XwmbrxlQ6cNrIEM4YX44TBhekX0HHnmI9QICIiIqK+LRiKDXViWLcRWmfnnN4gAqFwyoYmgno23zWnDAYgdbR0eoNpQ9yP//llyvcnVDqwcleT0ihFEMG0uBsjCMTQ9/gzfnrYLBl44XunGF5Hxw9W8oiIiIjoK/HGVe5a3X7lrJpe9R3aA9T1Nl/ZqQpgv7pQGgsQHVuQvLIYDkewYkeD8nzexIqEz4hZex1xYx6cXum5uhFKKpNUoxJEKM3uRiAmSochj4iIiIi+El9cpSwcAQ7KTUX02t0gdZocN8ChNE0BogPD0/n5K5sBSA1ORCVRbNeMvz819bk6APjLt05I+IwjKxNAYsjrlEOew56p6x7vVc2ku/VfUvVQ3USFqKcw5BERERHRV/Lxnibl8WlyS//3tjck+3iCdo8fG2vaAQDPfOdELL/tDOTLwWrFjsa060VFDQB8qqqiUskLJg95N7+4QXn83VlDYTYnno8T9+KMOzcozgGK99OxWhJ/9GYlj44GhjwiIiIi+kpuf2mT8vi0UVLIW3+wTff6A81S1a/CYceAfGne3Jxx5QCAUDh9E5dDLR7N18UAclEl1HK4LbpN9J4Lxml+Rgl5cZW8g/L3Di7KTnuPgDTaIV5ON87kEaXDkEdEREREPUZU8lbuaoRHY/adFhGWhpZEw9KESgcAwONP3TQFiO3MOSA/OlLALzeEeeDtnZrNV6qbo1tKl37/1KQNXvI1tmsGQ2EcbJXvuzgn7T0C2pW8yoLUQ9SJuoMhj4iIiIh6zMSB+ci2ZiAQis6tS0dU8tRhSWxjTNcZE4jdrvn3756kPBZbQIHE83QAcEB1bvDkoUVJr68OeRF5BuCuhk74g2Hk2SwYVKgvqGmFyClVxkYvEOnBkEdEREREPaosT+pG2aQxFkGLaNIyRBXyRPOULh0hT1TyzhhdirEVDuX1H509QnmsNbuvXe7cedrIEs2zeIIjS9pSGQpHlMrivibpnscNcKRcq5aZkfg5vQGRyAiGPCIiIiLqNvUQcjF+oNRgyKt3egEAlQXRrZZZctMUPds1xVk5R9wog5+cM1p57NMMedK6/OzUjVPEvQDRraUtLun3VurQPyNPq5JX7rBrfJLoq2HIIyIiIqJuu+n5aHfKhZdMAqAOeV5d12hxSUGxVDVUXKnk6Qh5oiLniOtyabWYUSJf06fRYVOEvII03TFNpmgF7vdv7Yi55+Ica9r7E7RCXlkeQx71PIY8IiIiIkJjpxcun75GKWqfVbcqj8U5OhFcGnVU8jq6AtjTKHW/LMqNBqasTP1n8g7JDVCqChO7XNrkZida2zXFOb2CNJU8tSPy0PYWt/R7E4PS9YjfrnnliVWazViIvir+XxURERHRca7DE8DJC9/HjN+//5WuIwKV3u2akUgEJy1coTwvUlXFRCVPz3bNnfWdAIChxcZCnqgAFmSlr8b94IzhAIATBhcCUFXycvVX8izm6I/ef//OSfjDNyfrXktkBEMeERER0XFud6MUkjp9QTy/7mC3ryO2NZbIwafJlTrkefyhmPClHiouKnnpGq/UtndhZ30nzCbgRI0OmaJSJsYpqLV59FfyxNk5cbavRT6LWGIg5GVZM/DdWUPxrVMG4+yxZbrXERnF6YtERERExzn1WbF7X9+K8ydUKNW47siXK2Pxw8PjqUcfAIDNEm1woudMXigcwe0vbQQAWDLMmvcsQp4voFHJU7Zrpg9qtkxxHel+ROOVIgPbNQHgNxdNMPR5ou5gJY+IiIjoOBd/7m3rkY6vdD3R5VI9pFyL1uw6ITtTukYwHEFAowoHAPe8tgWfHZDOBGptxwRU2zU1riG2a+anabwCAHY5gHpFJU/erllkoPEK0deFIY+IiIjoOBcf8ho69HXFFIPBAeA7M4cqj0WXy/hKXbwOT/L37dboj6nJtmy+tL4m7T1ak5zJi0QiaJBHN5TrGIOgruS1e/zolJvUqMc+EPUWDHlEREREx7mnVu2PeS7m1qXTqerGede8scpjh10KeV+lkmfNMEPMGNczRiHVdYDEINvi9sMbCMNkAgbkpx9ILraS+oJhVMuz8sodNmRbefqJeh+GPCIiIqLj3Cd7W2Keqwecp7JL7mppzzTDrhoYnidv1/T4Q0m3WgKAM0UINJlMSoDSE/JunzNa8/XKAinAbTjYFvN6bZs0CqEsz6ZrjIFdruRtrGnH7gbp9z2kOCftOqJjgSGPiIiIiGLorZxd/sRaAIA3rqlJti0a+FJ1x1RX8u77xsSE9+0pOmxGIhFkyKW+1344E7eeM1LzO2aMKAYAVLe4Y16vbZdC3sCC9FU8AMp3AcD9/90OQHtkA1FvwJBHRERERDE8OgaQp2LNMEOepqDZ1VLokBuf/M+pg3HtqUMS3hcNXESTk5h79IcQCktnAsdW5CnjG+KJGXjxW0dFJW+gxgB1LeotnaICyUoe9VYMeURERER9WJc/hC2Hu98N8/PqVs1rfhUmk0npahl/Fk7Y29iJP3+wF0Dy7pbjKh0AgC21ib8/MWjdZjErM/W0OLKkoBg/zkFU8vQ2ThlWkoPpQwoTXiPqjRjyiIiIiPqwR97fjYseW43HV+7r1vofPL9BeXzWmFIAgMefumGKHupGJVru++8O5bFo1BJvSJFUZWvsTGwEI7ZfDi3OSVrFA4A8+dpHOrwx5wPrOuSQp6PpijBvYkXM88FF3K5JvRNDHhEREVEf9rePpM6Yf1i+E9/4yyfK7Dc96jq6Ypqs/M8p0pZJPZU89fgELaKS5wtqX0tstQSAk4cVaX5GnMmLP/MHADWtUofLwWnOxYktnwDw+pe1yuN6eUzEgHz9IxDUnTQzM0wYWZarey3R14khj4iIiKif2FjTjhc/PaTrs+FwBDMWfaA8/+FZI5BtlULVpsMdWLmrMeV69XDxq08enPB+qoAGSCMMAOk83rTBhZqfsatm08Vrls/pleWlnnGn3gp6pD1aETyihDz9lTzx3wcARpblxXQUJepNGPKIiIiIjkN1cbPw5k6oQLYtWqn6zt8/T7leHd5+c9H4hPdTVfL8wbBSibvmlMSGK4ISFDWu0eKWzuQV56YOeZYMM84YXSpfLzoYvdklrR9gYJh5lirkDeQQdOrFDE1v7OjowLJly7Bq1SpUV1fD4/GgtLQU06ZNw3nnnYeZM2cerfskIiIiojhaWyb9Sc7AxQuHY9fm2iy6m5AA0eqa2RQNdGoioGl11/y8uhUuXxAlubaUWx7tluTVQNFxszjHmvZeqwqlap1H3oba4PQiEpG6gOpZL1hUYxTUVUGi3kZXJa+urg433ngjBgwYgN/97ndwu92YOnUqzjnnHAwaNAgffvghzj33XIwfPx4vvfTS0b5nIiIiIoL2MHGXT1/TFE/cubtcmwXZVgt+PV+qylWmOasmgpc9M0Oz8cmBZqkxygvrDia8t7/JBQCYWlWAzIzkP47a5MrbBzsbsWZfs/J6OBzBF4ek4eZ65tyJbZZi3l6dvFWzIt+esmlLvFFlecrja05N3KJK1FvoquRNmTIF3/72t/HZZ59h4sTEQZUA0NXVhddffx0PPfQQampqcOedd/bojRIRERFRLHXTFMGtM+TFDxjPlRuUzBwpDQ9Xn7nT8tqXhwEg6fgCETbf35l4tq+6RdqqmW6YuPrM20uf12DmiBIAQLPLhwanD2YTcProkpTXAIAsuWGK6BoqOmsaaboCSE1e3rz1NNS2dWH22DJDa4m+TrpC3rZt21BaWpryM1lZWbj66qtx9dVXo6mpqUdujoiIiIiSa5HPlQ0qzMJ1M4Zi4Vs70Kkz5D32wZ6Y59lyoFJGH6QYYg4Au+o7le/WcvXJVfjXZzUozE4cj3C4TV9nTHUHTnW9TTRdKcqxKfebiqjkieqlqORV6qgCxptQmY8JlfmG1xF9nXRt10wX8L7q54mIiIjIOHWHyVK5y+Sbm+vQ4Ex9XqzLH8KKHbEVNrN83swqGqakqOS5fEFliPrdF4zT/IxoqGLVOK8nBpGn22rZ7okOMFcfIRRNV0py9Z2nU7ZripAnf3+FwUoeUV9huLtmZWUlvvWtb+HJJ5/Erl27jsY9EREREZEO6g6TEwc6lNd/++9tKdfFn9t740ezlMfWjGgHSlFxU+v0BjDxN++g2eWH2QRMGqhd1SqSG5q0uPwxFTkAqG2TQ16SKqAwd0K58li9DVV0xizS2TSlVO7AeUju6KlU8hjyqJ8yHPIefPBBOBwOPPTQQxg3bhwGDBiAq666Ck888QR27NhxNO6RiIiIiDS0qjpMDi+Jdql8e2t9QvdMNXE2DZCqgFOqCpTn6srb/MWrE9au3deiPJ42uBA5Nu3TP+UOO7KtGQiGI9gnN1oBpLDWJlfo0lXySnJt+MNlkwAgZhvqzjppq+jQkpyU64VJg6QgurO+E4FQWAl5RmbkEfUlhkPe1VdfjSeeeAI7d+5EXV0dHn74YVgsFtxyyy1Jm7IQERERkTZvIITv/2M9nvp4v+G1TS5RybPCbDbFVPPiG6uouX3R9575zkkx76nHIai3S2q9NqI0ecjKMJswboB0P7sbOpXXxVZNh92CPHvieb145Q6p2uaSO4lGIhGlmcsJSYaox6vMz0JmhgmhcASNnT4cbJE6f3K7JvVXhubkCS6XC6tXr8ZHH32ElStX4ssvv8SkSZNw5pln9vT9EREREfVrL6+vwbvbG/Du9gbceMZwQ2vXyFW1ocVS2Pr5eWPx7Wc+AyBtyUxWZROVvGElOZgYt93SmmKkARANloAU5FIRTVdcqlEPIvDprcKJs4aH2zyIRCJw+YLY2yhVBueM09fh0mw2odxhx+G2Lvzr00PK6InuNF4h6gsMh7xTTjkFmzdvxsSJE3HWWWfhnnvuwemnn46CgoKjcHtERERE/VckEsF9/40ed1mxvQFzxpenWBFLVKRmjJDGHpwxOtr8zuULItmVxJk80ZBEzZwmuHWqAlu6kJcrh0z1GcAttR0AgMmD9HWoHF2eB6vFDKc3iJrWLmRkSN+ZmWFCflb6SqBQIYe8xz7cq7ym1fmTqD8wvF1zz549yM7OxvDhwzF8+HCMHDmSAY+IiIioGz7a3RQzj+57/1ive60/GEYgJJ27U297FM1EXBqD0gUxSiDHanxTV7snOpvvlGHFKT8rZu+pg2GjU6oEDi5KPT5ByMwwK41TWj1+dHql7aIOe6ahQeZ59tjf65jyPEPrifoSwyGvtbUVH374IWbNmoUVK1bgzDPPREVFBa688ko88cQTR+MeiYiIiPqlTw+0dnutunmKuiInglV8B021I/K5OD3dKdUNXPzBMJZ+XgMAmDjQgfmTB6RcK7aLanfGtKX97uh1MpTriJAYH9rSsccNbf/h2SMMrSfqSwyHPACYPHkybr31Vrz66qt4++23MW/ePLz22mv40Y9+1NP3R0RERNRv+YOJs+iCKebTqbnlapzVYkam6hxdjsYWyXjr9kvhclKSLZMXqsKbT3WP1fL2UACYM648bSUsT+NeWkRHUJ0z7oDots9ObxD3vrFVvpfE8Q6pZMWFvGE6zwQS9UWGa/RffvklVq5ciZUrV2LVqlXo7OzElClT8JOf/ARnn3320bhHIiIion5JK+S1dwVQkpu+yiWqYzlx5+qUc3BJtmt6AyF8uEvqTjlnnPapvUevnIo3N9cpn8+Sv6PVHd2qKZq9pBJ/Ju9Asxvb65wAgBJDlbzodQ4aDHeCOqxmWzMwtsKR4tNEfZvhkHfSSSdh2rRpOPPMM3HjjTfijDPOgMPB/ychIiIiMkp0iVRr9/gNhbzsuHN1Yhuj268d8g63eRAKR5Bns2B0ea7mZywZZljMJgTDEXiD0XELTZ3RzprptmoCiVXF6+TOn4D+M3kA4OySzuHd+fIm5bUHL5+iez0QO2fvb9dOj5kHSNTfGA55ra2tDHVEREREX1Fjpxdr90sjEL4zcyg+2t2EA81utLoTZ9Np+eenhwBEz6sJoplKZ5JK3qtf1AIABhdnp9xumZWZgU5fUGnSAkRD3oWTB8CSZtQCEA2coqp4qDVahcs30Nly0+GOhNdOHZG66Us8n2pu4OmjSlN8kqjvM/xPGOqA53K54HQ6Y34RERERUXobqtuUx+MrHUo7f/WWyGQ+3NmIlzccBgBMHxI7EDxV45VIJIIX1h4EAJw0tCjld5Q5pGpiXbtXeU3MyCvL07fVMr6SN1CeS3fRlEpd64VfXTgu4bVKg4PMfRpbY4n6K8Mh78CBA7jwwguRk5OD/Px8FBYWorCwEAUFBSgsLEx/ASIiIiKKGZ3g9gVRmC01ImnzpA957+9sUB6fMDj25y+LPLvu8ZX7NL9TbFtMN3hdnLlTN1sRnS1LdYY8cSZvZ30nGp1epSPoLbNH6lovnDo8tmo3b2KF4fEHXlUlj6i/M7xd85prrgEAPPPMMygvT99ViYiIiIgSicAESEPFC+VxBnXyeINkXL4gXpGreEDiGIRmVzQkBkLhmM6bHl806JSnCWpD5JB3UBXyatqk7ZZ6zgwCsWMO/rpyH5zytk3j4w9i6xLXnzbM0HoAuO8bE3Hl39bi9jmjDa8l6msMh7zNmzdjw4YNGDNmzNG4HyIiIqLjQkdX9OzdZScMQobZhFc2HMbK3U346Vztn7MikQgm/uadmNfOGB17vuy2OaOw7Evp3F2b248yR3Rbo2jGYs80pz1TN6xEaoxyoFkKdp3eAD6vlkYvnDhE3+4t9ZB20fAFkAaZG2GzRM8dfuuUwWm3mmo5aWgRtv/u/IR5eUT9keHtmieddBJqamqOxr0QERERHRf+/skBPPbhXgDAD88agRybBVMGFQAA6ju8Sde9v6Mx5vmfr54WU6kDpApciTyDTl3VA6A0Ucmxpv93/kGFUsgTg9OPtHsRiQAF2ZkYXqrdlTNeucOOEaVSRbBFPmuYYTbFDG/Xw6aq5OVnGQuIagx4dLwwXMl7+umncdNNN6G2thYTJ05EZmbs/6NNnjy5x26OiIiIqD/63/9sVx6L5iRiOHhjpw/+YFizxf/uxs6Y52LYeLziHBuaXf6EJi7K2AVb+rAj7qtLPstW75TCZ4XDWMOTH509Ej/9f5uU8Jpntxg+7qOu5MWHWiJKZDjkNTU1Yd++ffjud7+rvGYymRCJRGAymRAK8VArERERUTJiy6Igqlrqs3X/WFuN752e2BhFfY4PgDKkPF5xrhVoAFrcsZ83UskT9yWapTTIIa/cYMgTc/zq5JBXVah/Pp6gPpMXP/ydiBIZDnnXX389pk2bhn/9619svEJERERkULMrNniJwKWuVn2ws1Ez5O1uiFbyTh5ahJOTnE0TgTF+u+aOOmnclZ4tj1lKyJOCYZtcFSyOa/SSTvwcv0mD8g2tBwCrqnpXYGC+HtHxynDIO3jwIP79739j5EhjrW+JiIiIKLplUlBvnTx3fDne296AUWXaZ95ENez7ZwzHPRckzo4TRPfLlrhA+ekBqXHKnHHlae9TVPLE6IF2uVGMkSHm0nVif9wcVJhlaD2AmKJCcY6+zp5ExzPDm5pnz56NTZs2HY17ISIiIur3RGVMUG+dFF0rOzUGmQNAl7x2QZph4qKS1xJXyRPjEEZX5KW9z+xM6b4CoQgCoTDaPVLIK8j6apW8AQaHmAvfnD4IU6sKErqJElEiw5W8iy66CLfffju2bNmCSZMmJTReWbBgQY/dHBEREVFv9u62erz46SH83+VTdA8I74obyq3efpgrz4/r9CYJefLadF0ixRByj+q7ml0+7G+SQt7wkpy096k+7+fxh9DR5U+4Xz3y4sYlGD3TJ/zf5VO6tY7oeGQ45N10000AgN/97ncJ77HxChERER1Pvv/8BgDASQtXYP/vL4DZnL5Xwd5GV8xz9WBxEYhcaUJesoYrgni/S1U13HioHcFwBCPLclFVlL75idVihsVsQjAcQZc/FK3kGQx5FQ477JlmeANh5TkRHV2Gt2uGw+GkvxjwiIiI6HhVLW+FTMXtC+Lu17bEvKbuqilGInT6AogXCkfgD0pBKStNJU+871VV8sSZusoC/WfixHU8/qAq5BnbrplhNsUEu4pubtckIv04aISIiIioB3y0uyntZ+o0Bp2rB4Pnyds1tSp5O+udyuN0IU+MHFBvDX30/d0AAIdd/0YudYfNji5xJs94d0uLqjtmfCMWIup53Qp577//PubPn48RI0Zg5MiRmD9/PlasWNHT90ZERETUq9lUA8vX7mtJ+3mnN7ZC968bT43pHJnqTN5Plm7U/F4t4syeertmTWsXAGDDwba09ymIANoVCKG2XVrfnREG35fHQVx9cpXhtURknOGQ99hjj+H8889HXl4efvKTn+DWW2+Fw+HABRdcgMcee+xo3CMRERFRr9PRFYBP3j4JAC1uf4pPS1pV3S5Hl+dixojimPfFmTyt7prqs3zpzv7Fb9dUh73iXP3bLbPkqttv3timvGa0uyYgdcZc9sOZuO/iiYbXEpFxhuvlixYtwsMPP4wf//jHymu33norZs2ahYULF8a8TkRERNRfrdjeEPM8fiadllZPNOSdP3FAwvuiK6Y/GIYvGIoZkF6aZ0NTZ/rvAKLbLEXIa3FH1z14+VRd1wCALHnb5/a66FZRo3PyACmUThtcaHgdEXWP4Uqe0+nE+eefn/D63Llz4XQ6NVYQERER9T9f1kjbHsVg8aZOHyKRSMo1bapq34/PHpnwvgh5QOKWTTEg/RtTU8/IA6KVPHEmT8zLG5BvxxgdM/KEcNxv5zszh+peS0THjuGQt2DBAixbtizh9TfeeAMXXXRRj9wUERERUW93uE06o3bG6BJkWzPg9oewdn/qc3mtcsi74bRhsGqcq8swm5R5ewfjunWKtZecMCjtvWXLYdHtC8WsVXfy1MOv2o4KAJkZ6UdEENGxZ3i75rhx47Bw4UKsXLkSM2bMAACsW7cOn3zyCe644w78+c9/Vj5766239tydEhEREfUSXf4QVu6SummW5NrwjWkD8c9PD+E/m45g5oiSpOv0hK3JA/Px/s5GbK11YvqQIuX1NnmrZ5GOEQaiS6c/FIY3EEKzvJW0OFffwHYhEIoNedefNszQeiI6NgyHvCVLlqCwsBDbt2/H9u3bldcLCgqwZMkS5bnJZGLIIyIion7p8ZV7lcfZ1gyMlbdAijEDyegJeQMKpDly6kYukUgEbfKcusKc9GficlVjCt7cXKdcq8RgJa/MYcMeueHLKzfNwIB8/TP2iOjYMRzyDhw4cDTug4iIiKjP2FHfqTzOsVlgt4hGJ+FkSwBEG68UpqjGie6VHaomLR5/SNk6qWfLpbr75h0vb8KNpw/TvVbt7nnjMH/xanxz+iCcOLQo/QIi6hW+0jD0SCSS9oBxKo8//jgmT54Mh8MBh8OBGTNm4O2331be/853vgOTyRTz69RTT425hs/nwy233IKSkhLk5ORgwYIFOHz4cLfviYiIiCgd9Y8/2dYM2OQulF7V8HEtovFKqjEGYg7dc2sPKq8daJbO59kzzWkHoWvZKYfSISU5htZNHJiPL+49F3+4bLLh7ySiY6dbIW/JkiWYOHEi7HY77HY7Jk6ciKefftrwdQYNGoQHHngA69evx/r16zF79mxcfPHF2LYtOovl/PPPR11dnfLrrbfeirnGbbfdhmXLlmHp0qVYvXo1XC4X5s+fj1Ao9R+yREREdHzzB8MIh7v3D9bqNdlWS3T4eJqQd6TdCyB1JU9NhMKPdkvn/2aNKIkZnq7Xppp2AMC0qgLDa4tyrMhIM5ePiHoXw9s17733Xjz88MO45ZZblMYra9euxe23347q6mrcf//9uq8V341z4cKFePzxx7Fu3TpMmDABAGCz2VBRUaG5vqOjA0uWLMHzzz+POXPmAABeeOEFVFVVYcWKFTjvvPOM/vaIiIjoONDq9uOE+94DAEwc6MDrP5wFS4b+f/sOqUKexWxSQl6q7ZpbDnfAH0q/5fK0UdHGLe1dARTmWJVK3lQDIe2RK6fitpc2AgCc3iBsFrOh8QlE1HcZruQ9/vjjeOqpp7Bo0SIsWLAACxYswKJFi/Dkk0/iiSee6PaNhEIhLF26FG63WwmPALBy5UqUlZVh9OjRuPHGG9HY2Ki8t2HDBgQCAcydO1d5rbKyEhMnTsSaNWuSfpfP54PT6Yz5RURERMeP97bXK4+31jrx/9YbO+rhU4W5gQVZsMvjEHwpKnlirh4AFKYYKD62wgFROHPJs/LEOAUj2y3jA+HQ4hxkGgiyRNR3Gf7/9FAohBNPPDHh9enTpyMYDGqsSG3Lli3Izc2FzWbDTTfdhGXLlmH8+PEAgHnz5uHFF1/EBx98gAcffBCff/45Zs+eDZ9PagNcX18Pq9WKwsLCmGuWl5ejvr4+4buERYsWIT8/X/lVVVVl+L6JiIio73LYY0PW7obOJJ/UJsYZ/OP6k2GOqeQlD3nN8kDy/zl1cNotl8NLpcHnnT6po2Z1iwcAMKxYf8jLscVu2MrPSt+Vk4j6B8Mh73/+53/w+OOPJ7z+5JNP4pprrjF8A2PGjMHGjRuxbt063HzzzbjuuuuU0QxXXnklLrzwQkycOBEXXXQR3n77bezevRtvvvlmymtGIpGUf3jefffd6OjoUH7V1NQYvm8iIiLquwLh2HN4dR1dhta3y+MMxLZLEfKOdHjR1OnTXNMiZtXlpJ9Vl6saZu70BpRrDi7O1n2PYlae8Fl1q+61RNS3GT6TB0iNV959912l0+W6detQU1ODb3/72/jpT3+qfO6hhx5Key2r1YqRI0cCAE488UR8/vnnePTRR/G3v/0t4bMDBgzAkCFDsGfPHgBARUUF/H4/2traYqp5jY2NmDlzZtLvtNlssNmMDQMlIiKi/sPji919JBqi6BGJRJRRCKITZrY12vFy9d4mXDJtUMK6FrmSV5Kis6YgQp7LF8B72xoAAMNLcwxV42yW2H/LH1WWq3stEfVthkPe1q1bccIJJwAA9u3bBwAoLS1FaWkptm7dqnyuO52fAOkPTrEdM15LSwtqamowYMAAANIW0czMTLz33nu44oorAAB1dXXYunUr/vjHP3br+4mIiKj/c/ulbZWTB+Vj8+EO7GrohD8YhtWSfpOT0xtUZtaV5Er/aDyoMDok/J+fHtIOeW65kpeb/h+aRRWu3RNQqoanDCtOu04t/mexR66aamg9EfVdhkPehx9+2GNffs8992DevHmoqqpCZ2cnli5dipUrV2L58uVwuVz47W9/i8suuwwDBgxAdXU17rnnHpSUlOCSSy4BAOTn5+OGG27AHXfcgeLiYhQVFeHOO+/EpEmTlG6bRERE1D8davGgssBuqCumcN9/paMh5Q47SnK70Ozy46PdTTh3fHnatdc8vQ4AkJWZoWzTNJlMKMjORLsngM+r2zTXtcjjEPQMJBeh8WCLB8+uqQagrwKYTJ7dggmV+d1eT0R9yzFtsdTQ0IBrr70WY8aMwTnnnINPP/0Uy5cvx7nnnouMjAxs2bIFF198MUaPHo3rrrsOo0ePxtq1a5GXF23/+/DDD+Mb3/gGrrjiCsyaNQvZ2dn4z3/+g4wM44NCiYiIqG94b3sDzvjTh/jtf7al/3AcUYUDgCPtXZg9tgwAsO1IR9q1kUgEW2ulrtzxM/HU4/Y8/sRmdEa2aw6Vu2h+diB6jq7L3/0ZwCNKuVWT6Hiiq5J300034Ze//KWuLpQvvfQSgsGgriYsS5YsSfpeVlYW3nnnnbTXsNvtWLx4MRYvXpz2s0RERNQ/LP5AOp//wrpDuP8bkwyt/evKvcrjP1w2Ge9ukzpyixCWii+YfA6eeqtni8uP7KLoj1kNTi86uqRtlyU6tmuW59kBADWtHuW1qiL9TVeE/95yGu5/czvumjfO8Foi6rt0hbzS0lJMnDgRM2fOxIIFC3DiiSeisrISdrsdbW1t2L59O1avXo2lS5di4MCBePLJJ4/2fRMREdFxrFQVlJZvrcf5Eyt0r31kxR7l8cSB+Vgvd50UZ+ZS8aiqafHn90Kqjp0tbn9MKPt4dxMAYEpVAQqy01fyREOXTlWDmCtPMj7yaeLAfCz9/oz0HySifkXXds377rsPe/bswRlnnIEnnngCp556KgYPHoyysjKMGTMG3/72t7F//348/fTTWLt2LSZNMvYvakRERERGfK4aB3DTCxu+0rVEI5RmHZU8typ02eNCXiAUrfK1e2KvVS0PM5800KHrngrihqWPLs9Vzv8REaWju/FKWVkZ7r77btx9991ob2/HwYMH0dXVhZKSEowYMaLb3TSJiIiIjHB6A3B6E8+8dVdlgbQ1srYt/aw8dSXvlOGx3S6nDS5UKnbq83PBUBh/+VDqSD5U5zDz/KzYat/uBpeudUREQDcbrxQUFGDKlCk49dRTMXLkSAY8IiIi+trsa+yZwPO3a6cDAIbIwetIRxe8gdTNTdyqhiqLLo3dufR/35ysPL7/zR3K4ze31CmPxw/oXiWPiMiIY9pdk4iIiMiogy2e9B9KQcygE8PBi3OssFrMiESAps7U5/I8PikEjinPS2igUuawQ/y7d217tCrY5o5u3ZxSVaDrHjMzzMp9AsBNZ47QtY6ICGDIIyIioj6mwelNeC2sanqSTjAkfTZTnq9nMpmQa5MCVfxYBCESieDZTw7gP5uOAABK87Q7ZKrHKIhGLB75mvMmViDHpn9E8eRB0bl2vzh/jO51RESGh6ETERERHSv1HV4sentnwuvVLW4M1zkLTjRIyVQNUc+2ZqDVDbh82mf9vqxpx2//s115PrREe5xBZoYJATlEOrsCKMyxosMjjU4YWJCl6/6EsGpaA4/GEJERrOQRERFRn6Gecae2o65T1/pwOIJgWFTyosEpxyr9u7fYjhmvOW4bZ7IGKlmqDpjt8ly8djnkGT1nZ8vkj2lE1D3804OIiIj6DHVjlMGqOXQHW9261gdU5bFM1QiEbJsUztSNVdQ647p5Dk4ymPwJuZkLEB2j0OSSAmKxjiHoar+6cDzK8mz47UXjDa0jIjIc8hoaGnDttdeisrISFosFGRkZMb+IiIiI0olE9J+hU1NXyv7941n4yTmjAAA1rfqasYjzeABgVW3XVCp5SUKe0xuIeT6qPE/zczNHlCgNXcQYhfoO6QxhhcOu6x6FkWW5+PSec/CdWcMMrSMiMnwm7zvf+Q4OHTqEe++9FwMGDOAecSIiIjKkrqMLCx77BJedMAh3zRtraG2z3Kny1/PHoyDbijKH/kHmQOzAcotZtV1TruQ5u7RDXkdXNOQ9ePkUDCtJPu9ODC33BaXvqpcbxZQbDHkAz+IRUfcYDnmrV6/GqlWrMHXq1KNwO0RERNTf/e2j/Wjq9OGJj/YZDnl7GqSzd1XydsniHCnktbhSjz4Q/HLIM5mADFXIG1GaC6ABq/Y04bqZQxPWiZB381kjcNn0QSm/wyZvA/UFQ/AFQ2iVg+mAfOMhj4ioOwxv16yqqur2FgsiIiKilz6vUR4bGX3gDYSwRx6ELsYLFOdaAQAtbr2VvOj4BHWV7PyJFQCA9QfbNH/OERU+hz198xRRyfMGwmh0SuHTajFzwDkRfW0Mh7xHHnkEd911F6qrq4/C7RAREVF/FolEYrZMNqYZPq7W6PQhEpEqZWXynLriHDnk6dyu2Shvncw0x26DHFvhACB1wtQKjKKSl5+VPqipK3liq2aFw86tl0T0tTG8XfPKK6+Ex+PBiBEjkJ2djczM2D/sWltbe+zmiIiIqH9pcfuVEQYAUNvuQYXObYxKYMqPBibRsdLlC8IbCClVNC11HV245K9rAACWjNh/57ZazMi1WeDyBeHyBlES1wnTaSTkZYqQF0ZdN5uuEBF9FYZD3iOPPHIUboOIiIiOB0fau2Ke3/v6Nrz1k9N1rVVXxQSH3aIMIG91+1GZYuD4a1/UKo/dGkPPc2wZUsjTeM9IJU907Xzti1pcOGkAAKCc5/GI6GtkOORdd911R+M+iIiI6DgQH/K21zlxoNmdslulUN8hrVVX/kwmE4pyrGhw+tDU6UsZ8tRjFoIaZwFzbRY0wJcQ8u7773bskhu+iG6eqazc3QQA2FjTjmmDC6R71rGOiKinGA55ABAKhfD6669jx44dMJlMGD9+PBYsWMA5eURERJRSbbtUjTtzdCk+ksPQppp2nSFPOr8Xv/VxRGkuGpw+rN7bjClVBUnXV7ekHpiea5N+LHLFDT5fsvqA8ljMwEul3RMdt/DBzkYAwOgkc/WIiI4GwyFv7969uOCCC1BbW4sxY8YgEolg9+7dqKqqwptvvokRI0YcjfskIiKifqC2TarGja3IQ1meDS9vOIzauOpeMg1J5s2dMboUa/a1YLdcbUsm3Sy9XLv0Y5E7yUD0rMwMXc1Tpg8pxIaDbQCAgy1S9fCcceVp1xER9RTD3TVvvfVWjBgxAjU1Nfjiiy/w5Zdf4tChQxg2bBhuvfXWo3GPRERE1E+I7ZqVBVlK0xS9nTGb5E6c8SFPzJ+rl5ucaAmEwmhTdc08e0xpwmfybNJ5O3Ulzh+MdgJ95eYZuu7zkSunxjzPz8pEkdwFlIjo62C4kvfRRx9h3bp1KCoqUl4rLi7GAw88gFmzZvXozREREVH/cqQjGvJEgGpx6xuj0CQPPC/Niz3fJrZvikpfvDX7mvGtpz5Vnt81byyuPmlwwufK5XNz6uuIhismEzBOHrOQTlVRNk4YXIAvDrUDAEaUpt+KSkTUkwyHPJvNhs7OxO0QLpcLViv/lYqIiIiSi1by7HD5pABV3Zz6rJwgKnnxIa9Efp5sILo64AHAdTOGIsua2EdAdMCsjwl50jXzszJhNuufc6duDjN5UIHudUREPcHwds358+fj+9//Pj799FNEIhFEIhGsW7cON910ExYsWHA07pGIiIj6AW8gpJyLG1SQjRnDSwAAmw53oN2Tesumxx8dbRAf8grksQad3iCCqkHrydgztX/8Kc+TglmTakB7m7x1s0DH6ISYa6m2lA4qTN7xk4joaDAc8v785z9jxIgRmDFjBux2O+x2O2bNmoWRI0fi0UcfPRr3SERERP2AqOLlWDPgyLKgIt+OYvms2pH25OfpAGDbEScAqflJTlwVTj27zulNbJqSrfr8Q1dMSdo8RVxHDD4Houfz8rON7VYaoKrkFRhcS0T0VRnerllQUIA33ngDe/bswc6dOxGJRDB+/HiMHDnyaNwfERER9TLbjnRgy+EOXHlSla5uk4IIcpUFWcq6cocdLW4/GpxejK9Mfubt8ifWAgAyzKaE77RkmJFnt6DTG0S7x5/Q5KTCYcf+ZjcsZhMumTYw6Xc4RMhTBUVRYfwqlTyja4mIvqpuzckDgFGjRmHUqFE9eS9ERETUywVDYVz+xFp4/CFkZphx2fRButeqO2sKFfl2bK9zoi5FZ8yQanB5/KByoSA7E53eoLK9Us0vb+H8fzfNSBlKHVnSj0Wd3sRKXkG2saA2UPV7zLN3+8ctIqJu0fWnzk9/+lPcd999yMnJwU9/+tOUn33ooYd65MaIiIio99nV0AmPPwQAuOPlTThnXJnu7YiH5ZA3UHVGTVS86pN0xgSArkBIeWzN0D5pUpBlRQ26lEYpwu6GThyWZ/PZLYnNVtTy7FKQa3b5caDZjWElOVh/sBVAbDDVY2pVAXKsGQiEIxhemn6AOhFRT9IV8r788ksEAgHlMRERER2fVmxvjHm+pbYDp49KnDmnZVe9dK5uWHF0pIAy/iBFJc+tqt5NqcrX/IyotLXHVfJ+9fpW5XGyhiuCQ1Vxe3HdQfxq/nh8KY9BmGNwmLklw4yPf342XL5gQqMYIqKjTVfI+/DDDzUfExER0fEjHI5gyer9Ma9pbY9MRjRPmTQoGtQGFEgh73C7J+k6dcj70zenaH5GNE2JD3mfHWhVHtsz9VXyAODp1QfwvdOHo1HutDmyG9W44lybMvCdiOjrZLi75vXXX685J8/tduP666/vkZsiIiKi3udAi1tpSjJcHvDdkWb0gRCJRJTRBOrzauMHSM1WNh/uQFh19k5NbA+tcNgxtER7sHi0khe9ny5/KOYzWWlCHgDcPW+s8vgXr24GABTlWJFv8EweEdGxZDjkPffcc+jq6kp4vaurC//4xz965KaIiIio9xFDy8cPcODkoUUAEitnybj9IfiCUgOU4tzoGb6RZVKFrNMbRKfG+AMAWF8tVeNybMlDWpF8LrBVFfI6umLvzZZmuyYADCnOVh5/tLsJADBpoPYWUSKi3kp3uyen06kMP+/s7ITdHm0NHAqF8NZbb6GsrOyo3CQREREde/uaXACAoSXZKJTHFOyXg186LS6pipdtzUC2Nfrjhz0zA9YMM/yhMFz+YELFLBKJ4Lf/2Q4AyLEl/7FFjE1odUdDnrpL5lUnVcV8bzKTBhUkvDYsSfWQiKi30h3yCgoKYDJJs2lGjx6d8L7JZML//u//9ujNERERUe+x+XAHAGBCZT5OHFKIx1fuw/s7GhAOR2A2p56XJxqYVKiGhAs5tgz4PeGYs3eCOrTdOXdM0uuLs2/NrujnnXLIG1yUjQcum5zy/oSBBVmwZ5rhDYSV1/I5546I+hjdIe/DDz9EJBLB7Nmz8eqrr6KoqEh5z2q1YsiQIaisrDwqN0lERETHXo08imB0eR5OGFIIm8UMpzeI6hZ32jEBa/e1AADmjq9IeC/XbkGbJ6C5XbO6RaoUVubbccbo5F08xRbQZrliCESHmov5d3p9e8ZQPPlxtMGM0Rl5RETHmu4/9c4880wAwIEDB1BVVQWz2fBxPiIiIurDXHJlLM9uQWaGGRMH5mPDwTZsrGlPGfLaPX68tL4GADBxoCPh/Rx5G6VWJU+ErVHleSnvTWypPNjiQZc/hCxrBpzymbw8m7GQlhO3rZMhj4j6GmP/tAVgyJAhAACPx4NDhw7B74/tqjV5sr7tEERERNS3uOQQliufjZtY6cCGg23Y1ZDYdVvtzpc3KY9Ha4S1PHk+nSsu5EUiEXyyV6oAaoVDtQqHHWV5NjR2+rD1SAdOGlqkdPMsMTin7nBb7DiHgix9w96JiHoLwyGvqakJ3/3ud/H2229rvh8KhTRfJyIiomPrcJsHextdGFqck3QUQSpun/R3vAh5ovmKK0lXTGHFjugA9aHFid8rzry1xY1jaPMElOB3w2nDU36HyWTClKoCvLe9AUs/q4kJeWUGQ95FUyrx8obDynNW8oiorzG85/K2225DW1sb1q1bh6ysLCxfvhzPPfccRo0ahX//+99H4x6JiIioB5z2hw/xnb9/jrP+byU+lscD6BUOR6KVPLnyJsJefAVOLRiKNjCZNbIYVkvijx7lDqkZy9LPamJeP9AcPY8numemMkLeMvrqF4dxuM2DBqcXgPGQF3/2ryCblTwi6lsMV/I++OADvPHGGzjppJNgNpsxZMgQnHvuuXA4HFi0aBEuvPDCo3GfRERE9BX4grE7bf728b6UjUzivfpFtLIlwp34X62zdMKhVmnrY7Y1A89ff4rmZ8Sw8y21HQiGwrBkSEHwoNx0ZYhG9U+LusHKzrpONIpKnsNYyItXwO6aRNTHGK7kud1uZR5eUVERmprkQaGTJuGLL77o2bsjIiKiHhHfudLZlXqLZbyfvbJZeWyTq3GiopdsiDkQ3YJZkmtLOmZh/uQByuOuQDSMVrdIAXFoSXbCGi0mRK9vyzRHQ15e4tgGIxwMeUTUxxgOeWPGjMGuXbsAAFOnTsXf/vY31NbW4oknnsCAAQPSrCYiIqJjIT6IqQeFG2UySWFKz3bNFz89BCD1ubbZY8uUx+qQ95cP9wLQX8kLRyLKY38wjEZ5u2Z5Nyp5PzhTOgM4ojQHGWlmABIR9TaGt2vedtttqKurAwD85je/wXnnnYcXX3wRVqsVzz77bE/fHxEREfUAMU5AeZ6mWUq8Cocd9U4vbjpzhPKaOKtW0+qBLxiCzZIRs+a5NdV47YtaAIDDnjzkmUwmZFsz4PGH4PVLZ/h21jsRCkuhbVBhlq57HFUWHePQ4vYrv8fSblTy7p43Dr84byxMzHdE1AcZDnnXXHON8njatGmorq7Gzp07MXjwYJSUlPTozREREVHPiK/ktbr92H7EifGVqUcTCHl2C+qdwBmjo3/XT6x0IM9ugdMbxN5GFyZU5ses+c2/tymPvYHU3bdFyPMEpPs83NqlvDe1qkDXPZ47vlx5LM7z2SxmOOyGf9wBgKTbS4mIejtD2zUDgQCGDx+O7du3K69lZ2fjhBNOYMAjIiLqxfY3uwAA1ozoX/2/+++2ZB9P4Je7ZNpU3TEtGWaU5EpbIUXzFCGi2joJAIOLUp+rs2dKVcAu+TpOeTtpZb4dgwp1nskzmbBgSiWAaGfOModN2V5KRHS8MBTyMjMz4fP5+IclERFRH7O1tgMAcNNZI5TA5QuGUy2J4QtIn7VmxG7JzJLDWXzIa3FHZ97ZM824d/74lNcX1xFn8lrl9dOHFum+RwDIsUnX+eJgOwBpmykR0fHGcOOVW265BX/4wx8QDBrby09ERERfTUdXIGEUgl51HVITkiFF2XjoiikAgBaXP9WSGKKSFz/nLtsqhar4gejNLqmzZXGOFTvvm6cMTk9GXEdU8to9UiWv0OAg8myrtDWzXm66ot7CSUR0vDC8Sf3TTz/F+++/j3fffReTJk1CTk5sx6vXXnutx26OiIiIJDWtHlz451WYUJmPf33/VMPrRciryLcrWyxFENPDH0zcrqm+7o/++QUunBydlSsCZHGuvkHi9rhKnhi9YHQQeY41ttK4YMpAQ+uJiPoDwyGvoKAAl1122dG4FyIiIkrihU8PwukNYu3+FnR4Asg3UOFy+4I43CbNnKvIt6MkL3qOzu0LIseW+seBjTXtypiE+EpebXuX1hJVJU/f+IKsnqrkxf1eSnSGTCKi/sRwyPv73/9+NO6DiIiIkvAHw/jbR/uV5z97ZROe/PaJutf/Y+1BeANhDCvJwbDiHJhM0jk5byCMZpcvZcg70t6Fb/zlE+V5fMhLRglpOfpCmrJdM66SV5Rmm2c8dSUvz2aBJcPwyRQioj7P8J98s2fPRnt7e8LrTqcTs2fP7ol7IiIiIpWPdzfFPH9vRwNqWj261tZ3ePGH5TsBAN+eMQRmswkmkwmlefq2bD696kDMc70hz+2XKn85Vn3/nhzfXbNNDomGt2uqAquRaicRUX9iOOStXLkSfn/iQW2v14tVq1b1yE0RERFR1IodDTHPIxHg35uO6Fq77UiH8vjyE6uUx+JcXlNn6uYrlozYjtrxZ/J+d/EEzXUirGXFnZFLJr67Zrtcyetu4xVpLbdqEtHxSfd2zc2bNyuPt2/fjvr6euV5KBTC8uXLMXAgDzcTERH1tE8PtCa81ih3j0xHNEA5a0wpclVVLiXkpankiQqbYLPEPp87vgK/fmMbLHGDwz0GQ158d00xQsFoUFMPPp85stjQWiKi/kJ3yJs6dSpMJmmLh9a2zKysLCxevLhHb46IiOh4Fw5HUNcRbW5y5YlVeGl9DTq9+kYZNbu1G6Ao2zU7U4c8Z1dAefyNqZUJ74vKXjAcgS8YUkKgCHnZmfp+1FBX8rr8IWWGX4HBSl6Vauj6lEEFhtYSEfUXurdrHjhwAPv27UMkEsFnn32GAwcOKL9qa2vhdDpx/fXXH817JSIiOu40dHrhlQeRr/r52Zg6uAAA4PQGUqyKak0yykBU8pZ9WZtyvQiTV588GH+6fErC++pK3+L39yqPu+Qzedk6K3l2VSVPNF2xmE0x1Uc9BuRHh5+XO/R19iQi6m90/8k5ZMgQAEA4HD5qN0NERESxqpulBitDi7NRVZQNh12qbDl1VPK2H3Hi6dVS45S8uLA0qCALAHCo1QOPPxhzlk1NBK5JA/ORqdGpUt2I5bEP9+LO88YAML5dUzRocfmCePJjqZNotjUDJpMp1bIElgwzfnPReBxs8eCEwYWG1hIR9ReGRygAwO7du7Fy5Uo0NjYmhL5f//rXPXJjRERE/U19hxdmM1CWZ0//YdnBFjcAYEhxDgAgTz5zpt5Gmcy1Sz5VHseHrQVTK/HzV6Xz9ltrnTh5WFHK7x+s2gaplmHWDmGiAqi3klcmbx9tcHrx9lbp3L+eIKvlu7OGdWsdEVF/YTjkPfXUU7j55ptRUlKCioqKmH9hM5lMDHlEREQavIEQTl30PgBg78J5uue3iREHFQ4pGFbKFbjqFjeCoXDK67S4o50z4yt19swMnD6qBKv2NKOm1aMZ8sLhCGpapfOAQ4q1Q54WbyCEDYfaAAAjSnN1rSmXt1k2OFOfESQiovQMh7z7778fCxcuxC9+8YujcT9ERET9Tpvbjx88v0F53uL2o9yhr5rn8knbHnPlCt7wkhzk2ixw+YKobnFjZFmerutoVdTEubwWt3aw+mh3E/whacdOqvs9e0wpPtzVhOGlUrWx2eWDPxiGNcOMyYPydd2fuH69qmtosuohERGlZnhOXltbGy6//PKjcS9ERET90lOr9uOz6ugYhCPtXSk+Hcvlk7ZligYkZrNJ2dooxiPooXU2rjjHmvI63332c+VxqiHoP549EgAQCkcAAO3KIPNM3WfqxO9PXAMAXrjhFF1riYgoluGQd/nll+Pdd989GvdCRETUL4nmJcJfPtyne61LPpem7jKZL48VaNdxLk/IytQIeSlm5fmD+hutiYYsAXlNh3xfRmbcxVcas60ZGGxgiygREUUZ3q45cuRI3HvvvVi3bh0mTZqEzMzY+TW33nprj90cERFRf5AVNyvOGwjpWtfi8uH1jUcARLdrAkBBlvR3b4cneciLD2la2zUdWdI1tWbutbr1VwktZink+UNSFU6E2nwDM+7iO3dW6NzOSkREiQyHvCeffBK5ubn46KOP8NFHH8W8ZzKZGPKIiIhUfvbyJry84XDMa42d3iSfjrXwzR3KY3Ulr0CukMVXCNV21DljnlfkJ4YmcU2XRshrVlX3Xv/RrJT3abVIWzKDcsftjYfaAaQ+x5eOOC9IRETGGQ55Bw4cOBr3QURE1O/4gqGEgAcATZ36Okjua3Ipj4tyolsfRWCrlscbaKnriAbJ//eDGRhUmLj1UYQ8tz8x5In1YyvyMLWqIOV9xm/XXLWnGQAwb2JFynWpqH+/RERkjOEzeYLf78euXbsQDHZvhg0REVF/l2zLY5snoOvMm3rsgXqEwRS5Y+XWWmfCGqG+Q2ruMm9iRdIZeKkqea9/WQsAmKZjoLgY4xAIReANhLCnsRMAcOKQ7g8jn/4V1hIRHe8MhzyPx4MbbrgB2dnZmDBhAg4dOgRAOov3wAMP9PgNEhER9VXxXSs3/vpcWOTh4cnGFqipO2IOyM9SHoutjJ3e5Gfy6uV5c6m2TOaIkOeLDXmhcATv7WgAAFxzyuC095mZIf2eAuEwml0+hCOANcOM0rzub7m8bubQbq8lIjreGQ55d999NzZt2oSVK1fCbo/+xTFnzhy89NJLhq71+OOPY/LkyXA4HHA4HJgxYwbefvttzc/+4Ac/gMlkwiOPPBLzus/nwy233IKSkhLk5ORgwYIFOHw4cWsMERHR160lrpJXkG1VAlp1syfl2i8OteGDnY0AgAsnD0CGOTqKwC53yvQGklcDG+R5c1pn8YQ8u3bjlbqOLviDYWRmmDBugCPlfQJSoAOASARolLeiFuVYdY9PEM4ZWwYA+PePZ6Uc2UBERKkZ/hP09ddfx2OPPYbTTjst5g/v8ePHY98+/S2hAWDQoEF44IEHsH79eqxfvx6zZ8/GxRdfjG3btiV856efforKysqEa9x2221YtmwZli5ditWrV8PlcmH+/PkIhfR1LiMiIjpaWlTNS86fIJ1PK5A7Tv5jbXXKtff/d7vy+JS47ZYi5HWl6NJZL5+pS9WlMl/u0tkVCMV0/DzUKgXQqsLsmHCZjEXVGVN8b3Gu8TN1T377RHz+yzmYPKjA8FoiIooyHPKamppQVlaW8Lrb7Tb8L3YXXXQRLrjgAowePRqjR4/GwoULkZubi3Xr1imfqa2txY9//GO8+OKLCeMaOjo6sGTJEjz44IOYM2cOpk2bhhdeeAFbtmzBihUrjP7WiIiIepR6u+bvvjEBADC8NAcAEFQN/dai3qqpPpunfq+jK4C9jS7E293QibX7WwAAgwqzEt4XHPZMZfuo+vygeFyic7ul2K4JAF8eagPQvc6aGWbTV9riSUREEsMh76STTsKbb76pPBfB7qmnnsKMGTO6fSOhUAhLly6F2+1WrhMOh3HttdfiZz/7GSZMmJCwZsOGDQgEApg7d67yWmVlJSZOnIg1a9Z0+16IiIh6gtiuef2sYSjLk0LPvIkDAADONIPM1cGuOK7TpHqw+W0vfZmw9r+b65THqRqnmM0mpYulOuS1ecQwc31z7jLN0R8nnlt7EABw0ZQButYSEVHPMzxCYdGiRTj//POxfft2BINBPProo9i2bRvWrl2bMDdPjy1btmDGjBnwer3Izc3FsmXLMH78eADAH/7wB1gslqSz9+rr62G1WlFYGPsXWHl5Oerr65N+p8/ng88X3ULjdCbvTkZERAQAa/e14HCbB5efWKV7jdiuqd666JC3SGoNIFdTDy+fJHfTFNQhT6uS1y7Pz/v2jCFpt1sW59rQ2OmLGevQIa8vyNK35dJsNsFiNiEYjihdQ8+fwJBHRHSsGK7kzZw5E5988gk8Hg9GjBiBd999F+Xl5Vi7di2mT59u+AbGjBmDjRs3Yt26dbj55ptx3XXXYfv27diwYQMeffRRPPvss4a3gUYikZRrFi1ahPz8fOVXVZX+v7CJiOj4s+VwB65+ah1+9spmbDvSoXudqOSpK3Gi2YkzRWdMINr50mxKHAxuUzUlCYYSt32KStyQ4py09ziwQNrOWdMWbQTzt4/3A4ieH9Qj/q9d9XZTIiL6ehmu5AHApEmT8Nxzz/XIDVitVowcORIAcOKJJ+Lzzz/Ho48+inHjxqGxsRGDB0dbN4dCIdxxxx145JFHUF1djYqKCvj9frS1tcVU8xobGzFz5syk33n33Xfjpz/9qfLc6XQy6BERkaZwOIKLHlutPK9t68KEyvwUK6KilbxoSHOIkJdmu2aXX2qEcte8sQnvmVXVOa2zfe1KJS59SBsqz9870CwNVq9t71KqjCNKc9OuF24/dzT+uHyX7s8TEdHRY7iS99Zbb+Gdd95JeP2dd95JOv7AiEgkAp/Ph2uvvRabN2/Gxo0blV+VlZX42c9+pnz/9OnTkZmZiffee09ZX1dXh61bt6YMeTabTRnbIH4RERFpeeLj2M7R7WnCmZpSyVNt1xQVOo8/dRdoj18KWlnW1P8eO6WqIOE1cb4uX0fIK3NIAbRdrv7tqpeOMGRbM/DN6YPSrhd+eNZIPHrVVFgzzLh9zmjd64iIqOcZruTdddddmkPPI5EI7rrrLsybN0/3te655x7MmzcPVVVV6OzsxNKlS7Fy5UosX74cxcXFKC4ujvl8ZmYmKioqMGbMGABAfn4+brjhBtxxxx0oLi5GUVER7rzzTkyaNAlz5swx+lsjIiJKEF+dapTnz6UTDIWVmXElOdFKnt0ibWMMhiMIhsIx4wfUROjKtWlve3zu+pNx3TOfwRc3RsEfDGOPfE5PdPJMxSbfjzhL1yx3BD15WFFMxVCPi6cOxIIplYaPWRARUc8yHPL27NmjNEZRGzt2LPbu3WvoWg0NDbj22mtRV1eH/Px8TJ48GcuXL8e5556r+xoPP/wwLBYLrrjiCnR1deGcc87Bs88+i4wMngUgIqKeJ8JXOrsbXPAHw8izWWLGGNhVTVO8wTByNULeviYXPj3QCgAYU6692yQ/SQOXn72ySQlsw0r0hDzp+31BKSyKsQ/FOd0bZcCAR0R07BkOefn5+di/fz+GDh0a8/revXuRk5P+LxO1JUuWGPp8dXV1wmt2ux2LFy/G4sWLDV2LiIhID2uGGf5QWHnepjPk1XV0AQCGlebEVMTUTVO8gRBybYl/Fb+lGoEwulz7XJwIeR1x20ff2HhEeawncNkyRciTfo9aHUGJiKhvMXwmb8GCBbjtttuwb1/0jMLevXtxxx13YMGCBT16c0RERMdKJBLBg+/uigl4APDqF4djZsol0yVvo1SPOwCkpilWOeh5A9rn8jbXSh0877lgbNLtnCLkuXxBBOPuEQBuPWdU2nsEots1fQHpGqLrp57zfERE1DsZDnl/+tOfkJOTg7Fjx2LYsGEYNmwYxo0bh+LiYvzf//3f0bhHIiKir922I04s/kD7GMLf4pqxaBHdMbVGCYjtlG9v0Z7puq9JOlM3fkDyLp5iFAMAOFVbNsW4hgsmVaS9RyBaWWyWK3hun3TfWhVGIiLqG7q1XXPNmjV47733sGnTJmRlZWHy5Mk444wzjsb9ERERHRMhjdEEQoeOLZveJJU8tYVv7cCNZwyPeS0YCuNQizSzbliKximZGWbk2Szo9AXR5vGjSA53Lp8U+PSGNFFV3N/sxv4mF97b0QAg2gWUiIj6nm79CW4ymTB37lzMnTu3p++HiIioVwiGY7dAnjS0EEOLc/DyhsMxzVOSeV0+G5cq5Gk53NaFYDgCe6YZAxz2lJ8tzrWi0xdEq9uPEaVShVCcrdMb8sR2TQD4wfMblCojK3lERH1Xt/4Ef//99/H++++jsbER4bi/BJ955pkeuTEiIqKeEolE4AuGdYUzwR+MreS9fNNMPL5S2qYZ39EyXigcwYaDbQCAHfWdhu51f7O0VXNocU7aEQbFuTZUt3iUZiluX/S+9Fbi1I1gxOgFALBnGj7RQUREvYThP8H/93//F3PnzsX777+P5uZmtLW1xfwiIiLqbX7z722Y8r/vKmfd9IhvuAIAufI5OHWYiheJRHDtkk+V5yKAacnROK+3v8kNABhRqt1VU01s0RSz7Vrc0nfl2izITNKwJV4oor0tVVT0iIio7zFcyXviiSfw7LPP4tprrz0a90NERNTj/rH2IABg0Vs78PR1J+laoxVyxGByV4qQt7vBhTX7WpTnWhHqyWun4/vPb8BwjSC3v1kKeXpm3MXPyjvUKp3lqyrKTrtWsCYJg6ePKtV9DSIi6l0MV/L8fj9mzpx5NO6FiIiox73+Za3yuK7Dq3udVsjLs0mhSowZ0NLUGVu5O3d8eeJ17NJ1PP7EsHigSX/IE+fmRGWxplWazVelGr6ezoRKByrzY8/+XTh5gGZXUCIi6hsMh7zvfe97+Oc//3k07oWIiKjHRCIRvLDuIG57aaPyWqqOmfH8oegMux/IHTBL8mwAgObO5Fsw3XHB7Z4LxiV8JlsOUGLMgtoBuZI3PEVnzfjriO+skSt5gw1U8kwmExZeMinmtTw2XSEi6tMM/ynu9Xrx5JNPYsWKFZg8eTIyM2OHpT700EM9dnNERETdtXpvM371+taY1wIa5+ySCciNV6qKsvCL88cCAErlkNfk8iESicBkSmyMoq7OPXf9yZpdKnPkbZ+dvmDMddy+IOqdUrVxeEn6M3miuYpHnm3Xne2a6uske05ERH2L4T/FN2/ejKlTpwIAtm6N/ctT6y87IiKiY0FUxNRa3X7d61/54jAAqQGK6HJZkis1OgmEIujoCqAg25qwTgwTP39CBc4crX2ubVBhNixmEzq9QTz03m7cMXdMzD0X51iRn52puVZNVPJeWl+DP3xzMmrapO2aRip56usI6kHrRETU9xj+U/zDDz88GvdBRETUo7S2QrZ5Alj25WFcMm1Q2vWfHWgFAKzc1aS8ZrNkoCA7E+2eAJo6fZohT1QPgym2htozMzC0JAd7G1148dNDSsgz0nQFiD03WNvepWzXrCrSfyYPSJyJxxl5RER921cagnP48GHU1tam/yAREdHXzK0KeWeNiVbUbn9p01e6bmmutGWzUeNcni8Y/c4VOxpSXuexb00DAHR0BRCRxxiIpit6zuMBsUFyf5NL6fo5qPCrbde89IT0IZiIiHovwyEvHA7jd7/7HfLz8zFkyBAMHjwYBQUFuO+++xIGoxMRER0rf35/j/J4alWBobUR1ey44pzYap1yLk8j5O1VDROfq9FVU01sqQyFI+gKSOHwi0PSvFmt0QpavnXyYOXxxkPtAIByh83Q0HcgtnI3d3y5Mn+PiIj6JsMh75e//CUee+wxPPDAA/jyyy/xxRdf4Pe//z0WL16Me++992jcIxERkSHxWzVvOnOE8jgzI/35cY9q/b++f2rMe6lCnvrM333fmJjyO7IyM5Ahn/VzdgXR5Q9h9d5mANpjF7QU5lhx+qgSANGAWGWwigcA9szojwM2gwGRiIh6H8Mh77nnnsPTTz+Nm2++GZMnT8aUKVPwwx/+EE899RSeffbZo3CLRERExrR3RcPWeRPKYc/MUEKXnqpee5c0B8+aYcaostiqWnGOFPLe2VafuM4jrTtlWBHKHfaE99VMJhMccoMTpzeALbUdCIUjKHfYMEJnJQ8ABhZI5+8+lM8OTqh06F6rvheB5/GIiPo+wyGvtbUVY8eOTXh97NixaG1t7ZGbIiIi+ipE2AKAoXITkyHy9kjR/TKZT/Y249olnwKQumnGd47OlYPZ+oNtCUPRRTgs0NEZEwAcWdLnOroC2FTTDsD41tLJg2I/f0aSjp56sbMmEVHfZzjkTZkyBY899ljC64899himTJnSIzdFREQEAD9/ZROG3vUmnvx4n6F1bZ5oJe9HZ48EEJ1N1yDPodMSCkdwzdOfYr/cAKU8P7Ea16baklnf4dV8r1Cj66YWpYmL04etRzoAJIa2dEaVx1b9KjTu2YizvmJIJCKiY8/wP9f98Y9/xIUXXogVK1ZgxowZMJlMWLNmDWpqavDWW28djXskIqLj0N5GF/7femlW3e/f2omrTx6MPLu+ClmHXMk7cUghHPKabKv0V16L24/6Dq9mGIo/Z1ehseXyqpOr8Py6g8rnR5fnKe99Ip+pG1ys71ycCJF1HV3Y1yQ1bYnfHprOkLjv0rpnPVb9/Gzsb3Zj5siSbq0nIqLew3Al78wzz8SuXbtwySWXoL29Ha2trbj00kuxa9cunH766UfjHomI6DgUP8x8j6pzZTpa2yZHqsLTznqn5jq3Pxjz/ITBhQmfmVCZj7EVUrBTh0JfMKQ0P7lg4gBd9ykCWYPTq1QP9XbWFEQ1UOhuZ8yqouykw9uJiKhv6dbG+4EDB2LhwoU9fS9ERESKdtWWSwCobnZrhi7ttVLIy8+KBp7MDDNOHlaEzw60Jj2X54l7/Tuzhmp+bkxFHnbWd8aEvAPNbgRCETjsloTqWjL58pm8vY0uePwhWMwm3WuF+DOD8c+JiOj4Y7iS9/e//x0vv/xywusvv/wynnvuuR65KSIioo6u2KYmH+xs1L12R51UqYtvgJInd450+QIJa4DYSt7rP5qFzAztvyZF9azJFQ15bW7pmqV5Nt1BK9sqnRPcUivd7+Ci7KTfqYd6FAIRER2/DP9t8MADD6CkJHG/fllZGX7/+9/3yE0RERFFq3FSUFu3vyVmSHkykUgE/950BADg9sVuv8yRQ16nN5iwDgA8csibPCg/ZZdLMSuvUdXEpUMe21Cgs+mK+n6a5bBodKtmvFybvjOLRETUvxkOeQcPHsSwYcMSXh8yZAgOHTrUIzdFREQkzs1de+oQWDPMaHb5sbVW+yydmnp8wvi4mXFi/EGy7ZridVFhS6ZEruS1qDptiu8tyNIftOK/Z0Rpju61WnJtHGRORETdCHllZWXYvHlzwuubNm1CcXFxj9wUEREd3+o6upTtmd+YNlCZ/bZuf0vKda9sOIxp972nPL/qpMEx7+cqlTzt7ZqikpdjTX1k3Z4phSlfMKy81iYqjzpn5Gl9j5Eh6FoKu9l0hYiI+hfDIe+qq67Crbfeig8//BChUAihUAgffPABfvKTn+Cqq646GvdIRETHmZ31nQhHgLEVeRhZlouhcjMS9Rk4LXe+vEl5PLQ4G1ZL7F9zJblSCGro1L6Os0sKeblpBoJnZkhn7vyqkFfX0QUAKMvTP8IgO67yNryblbxfXTgO+VmZWPiNSd1aT0RE/Yvh7pr3338/Dh48iHPOOQcWi7Q8HA7j29/+Ns/kERFRjxBdK8vlEQPiDFz8HLtUxBq1IcVSiDrY4k54DwDau/QNMxfhUR3yqls8AIBhJfq7Y4rKopDqHGAq3zt9OG44bRg7axIREYBuhDyr1YqXXnoJ999/PzZu3IisrCxMmjQJQ4YMORr3R0REfVhTpw/Z1gylwYiRdQBQJge17oQ8rZlvg4ukAHa4rUtzTXyzl2SUkBeSQp7HH8SG6lYAwCjVcPR01GHy4SunwPIVOmsy4BERkdCtOXkAMGrUKIwaNaon74WIiPqRNrcfJy1cgfysTGz6zVxDa0WYK/0KIU9U7dREw5Q2jx+hcAQZ5thg9N72BgCJoxfi2eSQF5BD3qFWD9z+EBx2C6YZqMYV50ZDnpkhjYiIeggH6hAR0VGxubYDgDTvLhROP/pALWnIS3EmL368gjpACYXZmTCZgEhECnpqHZ4AGuO+NxlrhnSWTmzXFCMZinP1z8gDgGxV4xVfIJzik0RERPox5BER0VGRqaqSObu0u1lq8QZCeHNLHYBo2BLNTFrdfuxp6NRcp+50CQDFOYlBzZJhVrZINscFxodX7FYezxlXnvIe48/kid9fXpqGLalMrsrv9loiIiI1hjwiIjoqYscL+FN8MtaGg23KYxHI1LPnVu9t1lzniht8PrAwS/Nz4pxffYc35vXNh9sBAKePKlFGJCQT311TVPIcduPDyD+5azZeuWkGxlY40n+YiIhIB4Y8IiI6KtShy0jI61BV/U4cWggAMJtNuPrkKgBSNU/z+7zR7/vNReMTOlcKgwql5is1cc1XDsrdMX9x/ti09ygqeT75TJ5TnrvnyDJeyRtYkIUThxYZXkdERJRM9/eVEBERaTjQ7MaP//kFth1xKq81deoPeS3yNsrzJpTDZolW1CocUmWu2aV9LRG0yh02fHfWsKTXFx02a1o9MWtb5PA4tCT9rDqrqvFKJBLBtlrp96q1RZSIiOjrpruSFwgE8POf/xwjR47EySefjL///e8x7zc0NCAjI/X2FiIi6v/ueW1LTMADgJte2KB7vQhbRXGBSTRSiT9LJ3zz8bUAgFCa/iVVRVJYPNQSDXkHm6XHJbm2pBVANZv8910kAgTDEWySt3qeoTG2gYiI6OumO+QtXLgQ//jHP3DTTTdh7ty5uP322/GDH/wg5jPxnc2IiOj4c7jdo/m6P6ive2SLXKkrieuOKWbXaTVxCYcjysy6ZCFQUCp5bdH7rJaHow8p1jfI3JYZ/euzsdOnzNcbkG/XtZ6IiOho0h3yXnzxRTz99NO48847cf/992PDhg348MMP8d3vflcJdxzESkREwZD2P/gdbtMOf/Fa3FJIK86JDXm5cudKtz+osUb/dtAqOeQdUm3XFMPRq5I0a4lnz8zAlEFSN8yPdzehvUv6/nRD1ImIiL4OukNebW0tJk6cqDwfMWIEVq5cibVr1+Laa69FKBQ6KjdIRETHRpc/hC8OtSFscMZdsk0dB1v0hTxx5q44N3a7pthGqW6wIjQ4o50y0w0yr5Ibr3R6g+iQK3C1cvUxWUdOLSPL8gAAd7+2BV55xl267yYiIvo66A55FRUV2LdvX8xrlZWV+OCDD/D555/juuuu6/GbIyKiY+en/28jLv3rGryy4bChdepB4qt+fjbGVkhhSGyJTEd0z4wfZq6EPF/iPyqqxyH89ZoTUl4/y5qBEjlAimperVzJG1igb7smANR1dCW8puc8HxER0dGmO+TNnj0b//znPxNeF0Gvurq6J++LiIiOob98uBdvb62XHq/ca2htQD4b9/wNJ6OqKBtnjSkDoL+SJ7prxneqjIa8xDN59XIlb864cswcUZL2OwbLzVfEuTwR9oxU8s7UaLLCYwtERNQb6A559957L6644grN9wYOHIiPP/4YzzzzTI/dGBERHRuRSAR/emeX8twbMLYdX3xeDBQfKjczOdCcvpIXDIXRJm+hTFbJ8wbCCMa10BTbNfU2PlGfyzvU4sG+JuneBhboD3nXzRyq+7NERERfJ937SoYMGYIhQ4YkfX/AgAHcsklE1A+I82Xd4QuGUC1X7LLkkDekWJo7d1DHdk0R8EwmoDA7NuTlqLZCun0h5GdH/51SbLccUKAv5JXJW0pb3X58sq9ZeV1vd00gGmKJiIh6G92VPOHll1/GpZdeiokTJ2LSpEm49NJL8corrxyNeyMiomPg8bjtmWLwtx5PrzqgPLbLYwaGlkjB6XBbl7KVMxlxtq44x4oMc+zWR6vFrNyLK67DpthuKcYjpJOjbP0MKgHx6pMHIzPD8F+Lihe/d0q31xIREfUk3X+bhcNhXHnllbjyyiuxfft2jBw5EsOHD8e2bdtw5ZVX4qqrruKcPCKiPi4SieDPH8SGvJrWLl1VOABYtadJeWyzSJWu8jw77JlmBMMRJVBp8QZCuOix1QCAcQMcmp/JS9JhU5ytE50z0xFbP92+IGrbpXvSGxC1nD2mFLNGpj8LSERE9HXQHfIeeeQRrFixAv/+97+xc+dOvP7663jjjTewa9cuLFu2DO+99x4effTRo3mvRESk0/s7GrCjzml4ncuXOJ4AAJ5dU512bTAUxrr9rcpzsZ3RbDahUj7rVqfqghnv5fU1yuNpVQWan8nRaL7iDYTQ4JSatRit5LlVlTwjTVfiseEKERH1JrpD3rPPPos//elPmD9/fsJ7CxYswB//+EcsWbKkR2+OiIiMiUQiuOn5DbjhufWY9+gqw+tbkwwV1zMr74V1B2Oei+2aAFCSEz0Dl+z6j76/R3l+/WnDND+nNUZBDDLPtVl0z6mLhryQUskz0nQl3sRK7cojERHRsaA75O3Zswdz5sxJ+v6cOXOwd6+xNttERNSzPjvQiuXb6pXn6c7AxRODyAFp3t3vLp4AADiSogInrNjRGPM8S9WYRHTKbHH7NNfWtncp3/3WraejIK7piiBCXqc3Wsmrkc/jDSrM0l1Ry7FK97az3okj8rw7I01XhH//eBZ+fPZI/PDskYbXEhERHS26Q15WVhba29uTvu90OpGV1f1/BSUioq9uZ31nzPMnP95vaL2YUQcAb95ymlLdSnWWToggWu278sQqWFRNTETIU4dItY4uKbSVO2wYn6IqJoLYXz/cp1QXjTZdAaKVvDZPAJEIMHlQvjIg3YjJgwpw53lj2GmTiIh6Fd0hb8aMGXj88ceTvv+Xv/wFM2bM6JGbIiKi7mnqjK2UGQ558nbKc8aWocxhV86piS2NqYRVRcPpQwpj3hODzdUhUs0pV+Yc9tTbLa86eTAAYHudE2v3twCIVvKqDIS8XFvsBKGyPH2jF4iIiPoC3XPyfvnLX+Kss85CS0sL7rzzTowdOxaRSAQ7duzAgw8+iDfeeAMffvjh0bxXIqJ+LxKJ4N43tsLtC+EPl002NL4ASGyccuboUkPrxZk5UXkbkC+FvI6uALr8IWRZk1eswqoOy6V5sVUxcb1kZ/KcXdJ959lT/7V0wuAC5bGoLn6VSp5QqPMsHxERUV+gO+TNnDkTL730Er7//e/j1VdfjXmvsLAQ//rXvzBr1qwev0EiouNJU6cPL6w7BABY9mUt9v/+ApjN+js3fl4tdbccWJCF2vYu+INGz+RJlbZieetins0CswkIR6RzcKlCnnqKTpkjLuQplTztkPfzVzYBiDZRScZkMuGiKZX4z6Yj6JQDbY28pqpI/5GBHFvs70NvwxYiIqK+QHfIA4BLLrkE5513Ht555x3s2SN1QRs9ejTmzp2L7OzuzxciIiJJdYsn5nmbx68ErnSaXT5sOyKNTSjNs6G2vQtuv/ZIhGREyKpwSNsXzWYTcm0WOL1BOL0BlDmSb2v0BqMdL5NV8pqTbteU7rOxU/t9NfWMOwBodHrle9Yf8uK3ayZr9EJERNQXGQp5AJCdnY1LLrnkaNwLEdFx77MDLTHPm136Q15de7QDZmaGVP1btacZW2s7MHFgvq5riKHnQ0tylNccWZlyyEseGJ3eADYf7gAgbRGNP+M2IF96fqSjC5FIJKYLprra+Mx3Tkx7j7lyFa6jK4BQOIJWj1QdLMnVH9Sy4hqlFOcw5BERUf+h+7DHBx98gPHjx8PpTByu29HRgQkTJmDVKuMzmYiISBIOR/DPTw/FvBbfSCWZQCiMix5brTw3IRqifv7KZt3ff1CuJA4rjoa8PLkZirMroLkOAF5Zf1h5LMYuqA3Iz4LJBHgDYaW5iyCaumRlZuDsMWVp7zPXJt3PktUH8PjKvco20UIDQS1+1EIRQx4REfUjukPeI488ghtvvBEOR2Jr6/z8fPzgBz/AQw891KM3R0R0PKluceNIhxc2i1mpLDW50s+nA4D6uDl2N5weHSbe2KnzGk4vfMEwLGYTKguilTiHXcymS17Jc6savgwqTNy+b7WYUSZv4Ywfx1AtVw+HFGfrmnOnPk/3f+/uVh5nZhhrUnPJtIHy/WbhDIMNaoiIiHoz3X8jbtq0Ceeff37S9+fOnYsNGzb0yE0RER2PxIy7cQMcSujQW8mLP3t3zthoRWxUWZ6uayx8awcAYECBPWbGnehE6Ulxvk+cpfvR2SOQkaRRjDJzL24cw2GD3TG1OnCOG5B8tl4yD185FQcWXYBVPz+bc+6IiKhf0R3yGhoakJmZvPuYxWJBU1NTj9wUEdHxSGyHLMm1Ko1LdIc8XyjmuSXDjL9/9yQAwNr9LSkDmvieNzfXAUjscCk6anr8oYR1wpp9zQCAoaptnvEGyhW++Epeq1v+fefpO3sotmuq/eScUbrWxjOZTLqqh0RERH2J7pA3cOBAbNmyJen7mzdvxoABA3rkpoiIjkdixl2uzYJSudnKU6sOIKKeTZCEVoibrGq2skuuEiazr8mlPB5THlv5y5arXCt3af9D3tbaDuxrcsNsAs6bWJH0O0RjlDZP7Jm89i7peUGWvjEG8eMPAGBoCTs8ExERCbpD3gUXXIBf//rX8HoTz3Z0dXXhN7/5DebPn9+jN0dEdDwRIS/HZsGIsmhF7OM9zWnXqit5YvxBca5N2caYbD6d8KKq4ctj3zoh5j1RwftodxPC4cTA+dSq/QCAIcU5cNiTBzXR0bIrEFsR7PBIlTy9s+rixx8A+rekEhERHQ90j1D41a9+hddeew2jR4/Gj3/8Y4wZMwYmkwk7duzAX/7yF4RCIfzyl788mvdKRNSviRlyuXYLplUVKq/vqnfizDSNQdSVvJd+cKryuMJhw446oNWdOuT9Z9MR5fHIstyY9zpUXTVd/mBCkKuRz9TNHV+e8jtEyPPGhTxR2SvI0tfhMv7M38SBjqTnAImIiI5HukNeeXk51qxZg5tvvhl33323sn3IZDLhvPPOw1//+leUl6f+C56IiJJ7YZ1UTfMFwijMsWL6kEJsONgGXyCcZmW0u+V5E8oxRHUurihH2vbZ7E5+ti/dub9gOPr9zq5ATMgLhsLY1yR1x7xoSmXK64izfV1xZ/v2N0vrK/KTD1pXs1lit2teNDn19xIRER1vDA1DHzJkCN566y20tbVh7969iEQiGDVqFAoLC9MvJiKipNTVrWw5DJ0yrAgbDrYlzJXT0i62PMZVw/Llc25/XL4LPzxrpObaF9YdTHntroA65AUB1R/5Gw62oaMrgILsTIwqz9VYHWXX2K7Z6Q0os/kmD9I3sH3cgNitmUbm4xERER0PjA0VkhUWFuKkk07CySefzIBHRNQDREgDgJvPGgEgOqA7vlFJvHA4onTELM6NDTy5qnEDWw53aK53qWbcXXliVcL7F02ONtXq9MYORBejE8aU5yVU2OJFz+RFQ2OdPN8vPysTBdn6wprJZMLPzhujPC/SuY6IiOh40a2QR0REPeuBt3coj/Pk7ZDZVjGfLvnoAgD4v3d34aX1NQCkZitqNkv0j/n4gCaI83yTB+XjNwvGJ7z/nZlDlcfNcQ1c2uUAWqgjaIntml7V70eEvAE6t2oKOdZooGQlj4iIKBZDHhFRL/D6xiMJr2UnOcMW768r9ymPS+IqeYFQtGqWrDmJ6Mz5jakDlWCpZskw45pTBgMAPtrdGPNeu4HOmKKS91l1q/LaEXkwernDWMhTh9kihjwiIqIYxzTkPf7445g8eTIcDgccDgdmzJiBt99+W3n/t7/9LcaOHYucnBwUFhZizpw5+PTTT2Ou4fP5cMstt6CkpAQ5OTlYsGABDh8+/HX/VoiIelx0CHnyQebxM/RmjCiOeR5SjTyIH10guJXRDcm3W548rAgAcEjupCm0y50383WEvFLVsPNqudnKZnkL6dgBxkYgOFQz9Qp1jl4gIiI6XhzTkDdo0CA88MADWL9+PdavX4/Zs2fj4osvxrZt2wAAo0ePxmOPPYYtW7Zg9erVGDp0KObOnYumpuhA3ttuuw3Lli3D0qVLsXr1arhcLsyfPx+hUOp/+SYi6i0ikQjsmdIfx8/fcLLyuqh8pdqu6eyKBsAXv3cKyvJiK2IWc/SP+fjRBYJbDpFaVTxBVNoanLGdOEXTlPK89JW4CZUO5XGzy4dwOIJ3t9UDAE4eWpR2vZp6G2qq2XxERETHo2Ma8i666CJccMEFGD16NEaPHo2FCxciNzcX69atAwB861vfwpw5czB8+HBMmDABDz30EJxOJzZv3gwA6OjowJIlS/Dggw9izpw5mDZtGl544QVs2bIFK1asOJa/NSI6TrW4fPjryr3KWTU9Wt1+eOVmJCepwo7YrpksnAGAUz5nZ880Y9bIkoT3vz1jiPI4WVgUr6eq5IkB6/XyGTpACqcba9oBAFOq0nfGNJlMmFJVAABo8wTQ0RVQOoeeNirx3lOZPqQQU6sKcMm0gTBzRh4REVEMQyMUjqZQKISXX34ZbrcbM2bMSHjf7/fjySefRH5+PqZMmQIA2LBhAwKBAObOnat8rrKyEhMnTsSaNWtw3nnnfW33T0THt2AojLte24JXNkjbxVtdfvxqfmITEy218rm0sjybMmYAiG7XrG7xoMMT0NwSKUJesmpWYY4Vc8eX493tDUlDXqdX3q6ZopIntkd2BUIIhSPIMJtwpMOLZpcPFrMJEyr1jT8okK/T5vYr955jzUjbmTNeZoYZr/9olqE1REREx4tj3nhly5YtyM3Nhc1mw0033YRly5Zh/PjoD0b//e9/kZubC7vdjocffhjvvfceSkqkf/Gtr6+H1WpNGONQXl6O+vr6pN/p8/ngdDpjfhERfRWfVbcqAQ8A1u5v0b12b6MLADCkODvmdfX2yb99vA9axHbNPHvygCYqgk6N7pqRSAQH5PNxZSman2SrulmKs337m6T7Hl6aExNOUxENWn7+6mY0u3zyvXO7JRERUU865iFvzJgx2LhxI9atW4ebb74Z1113HbZv3668f/bZZ2Pjxo1Ys2YNzj//fFxxxRVobGxMcUXphxaTKfn2nUWLFiE/P1/5VVWVOBeKiMiIw61dMc/1jBQQNslbHicPKoh5fVBhlvJYnH2Lp1TyspIHpVHlUlOTNXsTg+eVf1unPK5IEfJsFjPEH6uiEYzorGmku6U6jH5e3QYAcGT1mk0lRERE/cIxD3lWqxUjR47EiSeeiEWLFmHKlCl49NFHlfdzcnIwcuRInHrqqViyZAksFguWLFkCAKioqIDf70dbW1vMNRsbG1FeXp70O++++250dHQov2pqao7Ob46IjhvxXSf9qtEF6UTPtRXEvJ6ZYcajV00FIJ3b0yLO/qVqPjJtsHTduo7YIPrlobaYcQZZ1uTVOJPJhOzM2JEOorNmQVb3Rhh0yOtZySMiIupZxzzkxYtEIvD5fLrenz59OjIzM/Hee+8p79fV1WHr1q2YOXNm0mvYbDZlbIP4RUT0VTR2emOe6228Utvehc210hiB6UMKE94vzpHGDrS4tf9cFOGyqihL830AyJerfE5v7CiGd7Y1KI9/reP8YHSkgxzy5OCpZ0ae8I2pA5XHj8vz/RwptpoSERGRccf0b9Z77rkH8+bNQ1VVFTo7O7F06VKsXLkSy5cvh9vtxsKFC7FgwQIMGDAALS0t+Otf/4rDhw/j8ssvBwDk5+fjhhtuwB133IHi4mIUFRXhzjvvxKRJkzBnzpxj+VsjouNMY6cUwk4eVoTPDrSi1Z14/k3LFwfbEIlIVbyBBYlBrVgebt7UqR3yquVtnEOLc5J+h6jydcadydtS2w4A+M7Mobj+tGFp71WEvHX7WzBugMPQjDzhxKFFsFrM8AejlU5W8oiIiHrWMQ15DQ0NuPbaa1FXV4f8/HxMnjwZy5cvx7nnnguv14udO3fiueeeQ3NzM4qLi3HSSSdh1apVmDBhgnKNhx9+GBaLBVdccQW6urpwzjnn4Nlnn0VGhrFObUREX4UIYd+YOhCfHWhFu8ef9nwwEG26MrZcexj4kOJsZJhNaPMEUN/hRUV+7Lk5MVRcT8jzBsLwB8OwyjPmWlxSJW7OuOTb29XEjLz//c92nDO2HEtWHwAAlObaUi1LcOrwYny8OzrvlGfyiIiIetYx/ZtVnK3TYrfb8dprr6W9ht1ux+LFi7F48eKevDUiOs6EwhH88MUNyLNn4v8un2J4vQh5o8tzAQDBcASdvmDaQd175Q6VI8q0Q1q21YJhJTnY2+jC3kZXTMiLRCJKQ5ahJdma6wEgV7Ud0ukNoEQOZWJ0Qq7O7ZLq6tvv39qhPC5P0bBFS54t9vtYySMiIupZve5MHhHRsbC1tgPvbGvAKxsOoy1Jk5NkQuGIMtS7qihbGTdQ1+5NtQwAsE+u5I0sy036GTFbzuWLbrfcUefEW1vq4fIFYTJJ35tMhtmkdMBsdEa3fbrlLpm5KYagJyPCKQCU5hmr5MUPXQ+FI4a/n4iIiJJjyCMiArCroVN5XN3iNrS2zeNHKByBySSNE5gij0L4aHfqcS+hcAT75e2WI0u1t2sC0Upbp6pxyrxHV+FH//wCAFCZn5V2mLiYwXdQ/r1FIhG4RCXPpq+SZs+M/pVhMUe3oZ4wOLFhTCrx31dmMCQSERFRagx5RESI7YZ5yV/XJB1ZoKW+Q6rYFedYkZlhVkYh1HWkruTVtHqUM3IDC5N3x8yVtze6fFIoE3PqhGElyc/jCVWFUsirbZfGKDy3phpBuYIWX1lLJjMj+ldGjdzV8x/Xn6yc8dNLXTmcONCBb50y2NB6IiIiSo0hj4gIgMsXinn+3Jpq3WtF5W+I3PykRO6IuXpPc8p12+ucAIBRZbnIMCdv0CJCnlsOeaJhijBpUH7aexTNTUQ18Lf/2a68l2PVdybv95dMUh675TEKZQ7jVTh1WHz++lOQrfP7iYiISB+GPCLq8z7c1YinV+1HJNL9s13xoe6dbfW614pZdUPkc3EitOxpdCUdfQAAm5IMQY8nQl6nCHlxVcbhOip5YoukqAaqmVMETLWLplQq9yIMKUr/3fFcqkqkkRl7REREpA//+ZSI+rzv/v1zAMCYijycPqrU8HqXL4iOrtgZcjvrO5N8OpGzSwotBdlW5T6EXfWdmo1JfMEQ/vbxfgDA1DQhr1BumrJLvqdGZ+w20BIdZ9rEFklxDi/bmgGPP4SFl0xMu1ZtcFG2UoEsy7Mps/OMcKuCZroRE0RERGQcK3lE1Kc1u6KVsmuXfIaVu1I3O9ESH/AEbyCk+Xo8T1yXyulDoo1IkjVxWV/dpjyeMbw45fVPH1UCANgoV/7E2AShWA6BqSjn+uR7FY1TThmW+rvjieHsgPGumsLl06sAAKcOL+rWeiIiIkqNIY+I+rRTf/9+zPOfvbLZ8DWcSUJestfjueXzfNmqrYyimcjTq/ZrrhFD0CcOdKQcfwBEw5TbF0QkEkkIjnrmzOWIkOeVriG2bebpnJEnqINvkY5wqWVKVQFW/+Js/OP6U7q1noiIiFJjyCOiPi0YN2OtO+fy1KMJFkypVB63efSFPFHJy1FtXRRD0KtbPDjc5klYI0LeaSPTby8VVbhAKAJfMKx0yBxemoMfnDFcV3fNQnkr6d5GFzz+EMR/thybsZC37YhTefwVjkBiUGG24a6cREREpA//hiWiY662vQstruQNSoxodhkbZA5EK3ZTBuXj95dGO0g2p7mnLYc7MOV/38XbW6UmLeoukaFwWHncrhEW9+oYgi6ou192eoM4Ioe83140AXdfMC7tegCYObIYJpP03/qtLXUApCpedqaxM3W/vDD6fWIbKREREfUubLxCRMdUi8uHWQ98AJvFjF33z+uRa76w7iD+59Qhuj/v9EohLM+eiVybBfMmVuDtrfX4eHcTZo1MHmT+vuZAzHk+9bw5XzAa8tSVQmFvk/6Qp+5++eC7u1DXLjVeqSxIPlsvXrbVgoKsTLR5Alguh9J5Eyt0d9YUrj5pMIaXSPd88jCeqSMiIuqNWMkjomNq/UGpAYkvGEY4bGz/XyjJ53/1+lZD1xEhTMySO3O0tIVyV0PqDpuZ5tg/QtWVvPEDHMpj9aB1QGr0IkYrDC81NoJg6ec1yiiFygK7obWOLGkL6Sp5ft8JgwtTfVyT2WzCjBHFmDGiOOVsPyIiIjp2GPKI6JhSjwNo9RjbavnBTuOdNLVsqe0AAOTJs+TEUPPqZu3OmIInrvumeubbN6cPUh63xzVwqZHn6pXk2pSze0YVZGcaHiIumqz4Q1KVcerggm59NxEREfVuDHlEdEx1qmamnRLXKTOdG/+xXnmcpTpbZjFQYXp+bTVe2XAYAGDPlP5ILHdI3Sxb0pzva44bdF6QFe02ackw47ITpKAXfyZPnPUzMoLgfxdMiHluzTD+x3d8oBxZmn6rKBEREfU9DHlEdEx5A9Gza8m2X+qx8Tfn4st7zwUgddys6+hKu8YXDOHeN7Ypz1vlMGaXA6P6XF28SCSCHfXOmNfys2NDlKjstXfFhsVWt/S8JFf/CIIRcYGszWDVE4gNwoAURImIiKj/4d/wRHTM7G3sxJ/f3xPzmj9FsErF9v/bu+/wqMq0f+DfmUlvk54QEhI6SC9SRUUR17VgBVdWRVFEfbH7uvqu9bcqrrurrohbdG2grAVcGwoq6CKCFCkigoSWkN57MuX5/XHOc+ZMnwkjk4Tv57q8rmnn5MzjAb1zP/d9R5ictkt+pjYX8UU/DgBw1M5Fq639O2ze6wQrm9rdMnSJLuMIktUauHqXz8kMYTBz5pJdAsjOBMT245l5QERERN0GgzwiChtPDVLkzLnOMBgMGKPWmbnWy3nyya5Sp+d3zBgIwJHJA7xn82SAF2UyIikmAmP7JLt1qtQyeS5B3qrvjwEIrjumOdY5yPvrb8YEfKxkMLBRChER0cmAQR4RhU1zu3sg1tzhPzgDvA89H9HbDABoDeA8P5TUa4//c+tUjMtXRgJE64Z0t1s9n0cGbr1TYrH5gRn4902T3T6TrA4gl9szAaCisQ0/lioZxNF5yX6v0XEuR5B3/dS+uGBkjo9Pe6bv+PmX2aOCPp6IiIi6BwZ5RBQ2URHufwU99uEeD590J4eJA8A9Mwdpj2OjlCxci48gr6XDiqtf3oxNB2sAAO/dPAWjdAGXvlbtq/2VHs9xpFrpvGmOjURslAmRHurbeqcombqi2hbttaIaR63gWUMyvV6jqwTdVtBgGrbo3TK9P66bWoB3Fk7GpWNz/R9ARERE3RKDPCIKm0iT+/bBz/aUe83S6VXrsmP/c9ZA7XFcpBIM+QryvtpXqc2KA4C+6d5n1d2+Yofba98frcW97+4C4F4rp9dXHcVQWt+mDVyXWb1ReckeA0Nv9FstXbduBiouKgIPXzgMpxZwiDkREVFPxiCPiMImxqXbo9TQ5r8uTw4wd93yGKdm8lp91PZZXZqWpPgI1DzZWFitPfa1bTI5LhL91ABynTrTr1odn5AeRNMV6cZpfTEsJwmzRge/VZOIiIhOHgzyiChsZEAGAM/OGa09LtcNSPfm5Q0HAbjPi5PbNZs81PtJzbrZfEN7JQXdkEQOSb9zxiCnoeeuDAYDhuYodXC1zR0QQuB3K3cDUAahB+v/zj8FH982DfHRwQ1BJyIiopMLgzwiChvZeOVPV4zCxWN6Y3hvJSAq1NXbeSPr6b47XOP0upwF9/neclhtnjtjNqlBXpTJiBfnjg3qmu12odXpDemV6Pfz0SbHOIbCymbt9ZROZPKIiIiIAsEgj4jCprpZ2boo58mNzE0GAGw6WO3tEABAm248QnyU85ZPfb1ZeWO7x+NlkHfF+FwUeKnHmzYwHQBgchmLUNbQhorGdkQYDZg+2H/jFNlcpt1i134uENwgdCIiIqJgMMgjorCoae7AD8eUUQLZ5hgAwIyhStD02Z5yn8cW67pVrljgPLqgT1ocspKUrZCy/s1Vk1rPl+Bj2+OfrnCMGNAPRD+sdtXskxrnsTuoK/1g9doWR7OYqyfn+z2WiIiIqDMY5BHRcSmpa8WkJ77AXf/eEdRxL6w7oD2WQd64PkoWrqyhzedQ9ENVSpA3LCcJI3LNbu/Lerfqpg639wBgy5FaAEBWUozXnyG7ZtrsQmvyAgAldUq9oByP4I8MBPeWNqJena03dUAaoiM8N50hIiIiOl4M8oio04QQOPvPX6GsoQ0rvz+GL3/ynYHTO1TlqE9LU+vTzHGRWnB1pLrF43HKsUrNXkGa562Wqer59GMWpJ/KGrCzqA5RJiMu8tGlMjrCpG0F1Wfg6tTHqQHW1Mkg7/O95XhvezEAIDmWWzWJiIjol8Mgj4g6bcWWIrTq6uNe+eZwwMfuLVW2av57wSSn7pYycJPDxj3ZrW7zHOql8Ykjk+e+XXPLIaVRy6T+aX47XKaqdXNVuvM8/dk+AIHPqosyOTJ2cjafOciRDURERETBYJBHRJ22avsxp+cWL90sXdW3WlBar2x7HNbbebtlQVocAMeWTFd/+6oQH+4sAQCcoo4ncJXmI5O3p0QJEEf2dt/m6SovRbkWmVXssNrRblW+o7x+f6Ij3f+ajfMyH5CIiIgoFBjkEZ3ENh2sxv7yxk4f39BmcXpe12Lx8klncg6eOTbSrflJtlmpdav00hlz8eqftMcpcZ63PaapGbrP97pvHz2gjmcYmJXg9zrzXbKKNbqg0bWrpzeexjjIQJGIiIjol8Agj+gktflgNa78xybM+fu3ITtnoEFemZoFy/bQ+CQhWgmeWi3eG69IiTGetz1mJipB3sHKZqdxC0IIHKhUgrwBmf6DvNR45fwNauMV/bbNu84Z7Pd4wHOwqr8mIiIiolBjkEd0klr9QxkAoLbFgv/sOObn0+4a2iz4qcw5C1jX6rmbpSsZ5GWZ3YO8uCgls9fU7j8QSor1PALhV8Oztcf6bZXVzR2oa7HAYAD6Z/gP8mLUDpjtVpt2PAAMyU5EH3VbqT+VHuoCzxrif74eERERUWcxyCM6Senr525fsQOl9a1BHb/iu6Nur7VZ7AFlqcrU7Zq9PGTy4tVMXku7eyZPCOH0PMlLJi8+OgL91CHn+8oatNflVs3clFjEBFAXJ+vp2i3KWslGLv4atugtPKO/22v6IJSIiIgo1BjkEZ2kXLdW7jhaF9TxMhMIAO/fOhVGtUHmF3sr/B4rgzxfmbxmD3Py2izOtWzRPoaRJ6ndL5dvdgSjyzYdARBYFk85v8zkKT9X1uSlJQQ+AmFkbjKeuGSE9vz8kb2cuokSERERhRqDPKKTVJXLNsJDPkYWePJzeZP2eFSuGXY1yXbrm9v9HlvuoyZPZvJqm93r+/TX/NRlI3wGS3K8gsno+Mz3aiCbkxzYIPMYNZMns5NVTcHNyJP0g9MDHb1ARERE1FkM8ohOQkIIp2HkgPdulp60W21oUrdTfnv/WTAYDNrog0DITF622X3bo8zk7StvdOveWag2TRmUlYA5p/bx+TMm9UtTrlWX/ZNDza+a4PtYyTWTt+4nJUsZzHZNAEiMcdQOettiSkRERBQqDPKIurEPdpbgA3VmXDDKGtpQ0dgOk9GAm89UasaCaesvA8Iok1HLxj156UgA8Bns2e0Cr35zSJtVl+UhkzdcN7/uiMusPFlTF0hnTBmgdai1hy0dVrR0KBm5ArVez/851Jo8qw0/HKvHPnXcRJ/UwANaAEjUjYlgJo+IiIh+aZ5b0xFRl9fSYcVtb30PAJjaP02bDReInUV1AIDBWYlIVoOOdkvwQV5GYrS2ZTJdrVOra/U+RuG97cV45MMfteeeRyhEoCAtDoerW7SulpLM5AVSUycDtA6rbJrSob0e6Iw72ZylzWLHruJ67fWx+SkBHS/pRz0wyCMiIqJfGjN5RN2Ufih4YWVw9XSH1AzZ4OxELRhqswY+u00GeemJjsDSHKcEL/WtFtjswuNxMoMneattc90mKQWTyYtyDfLUpinpCdEBNz7RZ/LkIVERRvQOsKZPSo2P0oK7QIawExERER0PZvKIuqGy+ja8/u0R7fn+8kZM6Jsa8PGtaiORhOgILVsVVCZPbYCSocsepsVHIzbShFaLDQcrmzAwK9HtONegzVuwpY0u0AWebRYbthyuBRBYJi8qwvkcNc3KNQfTNCU6Ug5mt6FJHYh+/oheAR+vv5a1d52OuhYLBnlYFyIiIqJQYiaPqBua9OQXTs/3uQwl90d2i4yNMnkMqPx5beNhAMp2TclkNGBYThIA4MfSBk+HobbZMSw9zseWSdetlgDw0a5S7XG/DP81dVEm53PIzpjBjD9IUwPC6qYONKqNZmT3z2BlJsYwwCMiIqITgkEeUTdT76Hmbd2+CrdB4b7IIC8m0uTYGhlEJq9aGyXgXF8mRxN469Qpu2WOzDVj1S1TvZ7fkYVzXNPRGmWLaZ/UOK0Dpy8yeJWNV+Q1pcUHXruYrc7xa+mwoUwdFp8QzZo6IiIi6toY5BF1M1sP17i9VlzbioZW9+Hh3rR2yCDPqM2C+87Deb2RWa05451HEcitkNW6jJ3TceqWxztmDMTgbO9ZLU+Bp5ytd/m43ICuUWbyqpo68Obmo3ju858BKOMXAhUTadJq6b47pKxPQiczeUREREQnCoM8om5mzZ5yp+cyCKlsagv4HLImL1aXyQOAH47VeztE8+62Ym0LZLJLJk922Kxp8hbkKZk8f7PioiPct5CWqJk0Tx05PZHZQAB4YNVuLaM3uX9aQMdLE9Vax8PVSiZxTJ/gOmsSERERnWgM8oi6GZkl62WOwUeLTtPq4ioaAhtmXljZpNW3xUaatKHmgNLQxZ973tmpPU5w2TaZombyalrcg7zP9pRpgVJiwEGeI5NXXKsEebmpgXW21Ad5evo6wkC4NrQ5pVdSUMcTERERnWgM8oi6GVnX9n/nD8Xw3matw6XseOmPbJoCKM1STi1wBDFWu++6vOZ25y2hRqNzd0zZTEXW/Ond9MY27XFWku9ASwZo6/ZVAABsdoHiWkdNXiC8ZQuD6a4JAL3MzkFlEufcERERURfHII+om5F1bTIbJjNT3pqduNI3LYmPjkBqfBQm9VMCvYY233V9RWqgBTiybXqxkcq5Wzp8d+pMjvMdaMmxDt8cqMbByiaUNbTBYhOIMBrcgi5/53Cl354aiOlDMpyem4yBzdgjIiIiChcGeUTdTEOrrGtTAqoUdQj5Hz7e6/WYsvo2XLRkA5ZvPoK/fVWovT7zlCwASnt/AKhvce/cqaffEvq3345ze19m8jwFeXLswe1nD/T5MwBlfp/0c0UTjqrbPHNTYo8ryAp2iDmgBMXzphR0+mcSERERnWgM8oi6Gdm8RGby9AFVq5cM2ssbDmJXcT3+b9UP2msLz+iPCLUDZaIaMP557T6fP3veK98BAArS4jB9SKbb+zLIa+1wzwjWqLWEF4z0P0xcH8jd9MY27C9X5gDmBbhVU7psrNKJc0h2ImIjTfj71e6BaSCumZwPADh3WFanjiciIiI6kfwPmyKiLqOlw6ptqZTbNG+dPgDvbCsGAFQ0tiE/zX1QuMno/vucmmZHVk6OM/A1f04IAbs6ik82UHEV6yWT1261oU7NEgbb+AQAvi2sBhB4PZ709OUj8fvzh8IcG4mmDqvfrp7e9MtIwI6HzvHbMIaIiIioK2AmjygM2q22oIaXSyV1SofJxOgIbXRCQXo88tOU4KfcS4fNNA/NRib0dYwSuHBkDgAl2+apaQqg1MdJvxqW7fEzMkh0zSjK4emRJoN23b64Ls0+NZMXbJBnNBqQEh8Fo9HQ6QBPSo6LYj0eERERdQsM8uikY7HZseVwDez24IOsUKhvsWDKk1/ixte3Bn2sHCPQO8W5tixLrakrb/A8AsE1cLtiXC4uGdNbe54cF6l1tFz1/TGP53hpw0Ht8VOXjfT4Ga0mz+IcxFaoTWEyEqJhMPgPlC4ek+P0/FBVM4DggzwiIiKikxGDPDqp2O0C055ahyv+9i3eVbc4nmj3r9qF6uYOfL63Av/4utD/ATrH1EyeawORTHUkQYWXDpstLkHeXTMHOWWlDAYDItTnsv5Nb/2+CqzfVwkA+OS2aTDHeR9PEBVhhM0ucES3pVNmILPMgQ0yH5CZ6PH1YGvyiIiIiE5GDPLopLLpUDXK1GzXK7p5cZ3RYfU9U86Tn8sb8cnuMu35E5/8pNWbBeKFLw8A8JDJS1KCpwovmTzX7ZMpHkYY3DNzMADP2cB5r2zRHp+S430YeKTJiGHq+zuK6rTX5Yy7vJTAg7RReclur/VJY5BHRERE5A+DPDppfLG3HFf9c7P2PNLU+fqqJz/ZiyEPrsa/NhwK6rgDFU1ury3bfAT1rb5HFwDKQHA58LxfunNzFTlc3Nt2zRZdt8tfj8j2OEOul5plK6v3fI5AjcpNBuAc5BXVKJm8vNTARxj88xr3TpjHW1dHREREdDJgkEcnjWc+3+/0/Ofypk7V5TW1W/H3rw/CLoB/fH3Q/wE6R2rcu1J+vKsU81/d4uHTzuRAcAD47aR8p/dkJs9b4xXZ7XLuxD54Zs5oj5+RWyldz2G1BZexlJk8fUBb1IlMXmZiDC4aleP/g0RERETkhEEenTQKXEYLtFps2tbNYKzeXao9LmtoQ3WT58DKk0ovNXNbj9Ti+6O1Po/946c/AVCaj8j5dpIcZl7e6Pn7yLELY/ukIDrCPYsHANlJjuYt+uC3Uvf93rpxks9rBJRun4CjWQoAFNXIYebBbbdMS3BsK73rnEFBHUtERER0smKQRycN2dXxoQtOQYraOKSp3X1otz8rtzt3n9x8qCbgY30FhP7O858dJQCAupYOt/fkds0KL5m8evWYZC8NUwBlfp3BAFjtAlW6GXpH1QYqOeYYTO6f5u1wjQymS+pbtVERsitoMNs1AcAAx5baBaf3C+pYIiIiopMVgzw6acjmI7FRJsRGeh7a7U9xbQu+Pag0SjnnlCwAwOaDgTdOqW5Wgq3fnz8UKXGRyE+Lw6kFKX6vRb9l8vcXnOL2fqaahWtqt3oMXGvVQeS+grxIkxG5akOXn8sdWy0XLtsGACgJsFYvPSEK8VEmCKHU4lU2taPdaofRAPQyBxfkJcY4hrN7qiMkIiIiIncM8uikIWfFxUaaECvnuXUEl8mT2bRJ/VJx9pBMAJ7r7LypUYO8/pkJ+O7/ZmD9PWditNpFst3LEHIAqNFl7y4bm+v2fkJ0BOLV7+TaYbO1w4aj6jWaY927auqN7K1cy48lDdprMkAMlMFgQB81m1dU24JjahYvKylGm8UXqOumFmDqgDT88XLPc/mIiIiIyF2E/48QdR0Wmx0t7Tavc9p8aVWDqJhII+KilFvfdUi4L0IIvLddma136dhcZCQqWySD6UbZrGbZEqIjEKnW1ckMVauPa6lqVIK89IQop/l2ellJMThY1Yzyhnb0y0jQXl/zY5nuM9E+r0/WwDW0OQK75LhI1LVY8KyXhi2eJKkZuJqmDkA4nzsYyXFRWH6D/zpAIiIiInJgJo+6hYrGNny2pwy3r/ge4x9fi589DOz2p00L8vSZvMCDvJ3F9ThY2YyYSCPOG57t1KgkEKX1rTis1rfF6rYeyiDPV8D5+d5yAHAK3lw5BqI7X89PZcpajctPQaKfEQSe1sWizgMc7WFunTdWtXHL3e/sRF2rWg/oJ4tIRERERKHBTB51C7P/9q0WIAHABztLcLc6vDtQrbrtmnGdCPJWqlm8c4dlIzEmEuZYJSsXaPOWO1bs0B7Lnw/ogzzvowre36E0e7lqQh+vn8nyEnTuV4O8WaP9jyOIi1T+SpBr1WG1o1ldI1/1fK72lNRrj+vU7Z6dyb4SERERUfCYyaNuQR/gAcF1tJRa2pVgJS4qQguyWgMM8jqsdnywU6nHu1StiZPBmcUm/M6Sa7fanK5ZbhcFHFk9b9s1hRAoVoeJj1ebtHgigzx9h836Fgu++KkCADAoK9HnNSrX5bwucki7wQC/WUA9k8GxpbRWrUNMYZBHREREdEIwyKMTorndimWbjmBvaYP/Dwdg+5Fa2IIcZK5tG4yLhDlWCThkIxR/1u2rQF2LBZmJ0ZiqjhGIiXT88Wmz+g7yvtxb4fQ81imTp5zH23bNmuYOdKhBpJyH50lKnLIdUt8oZdMhR+dPOaTcF9eGNPXqmiXFRHqtBfRE/9mvfq4CAOSnxnv7OBERERGFELdr0gnx4H9+0ObLbfv9DKQl+G4A4o/VLlDe0Iac5MBa8rdZbNp2SHNcJHqrxx2raw3oeLlV8+IxvbVB5DG6oeJtFhsSor3/cSqsbHJ6rt+uGeunJq+kTtl+mZ4Q5bM7pXzPossqypl6gdTj6a9LbmOtC2D0gif6IG9nUR0ABDRjj4iIiIiOX1gzeS+++CJGjhyJpKQkJCUlYfLkyVi9ejUAwGKx4L777sOIESMQHx+PnJwcXHPNNSgpKXE6R3t7OxYtWoT09HTEx8fjoosuQnFxcTi+DvmgHyC+v7zJxyf9kwFEoAEa4Nh2aDIakBgdgd7qPDjZ3t+X2uYOfKluebx0bG/tdaPRoAVW/rp01rmMIZCdNQH/NXm7jyn1bUOyfWfiokzKujgHecrPzU+N83ms5LpdUwvyYoML8owG96xfUhDbPYmIiIio88Ia5OXm5mLx4sXYunUrtm7dirPOOguzZs3Cnj170NLSgu3bt+PBBx/E9u3bsXLlSuzfvx8XXXSR0znuuOMOrFq1CitWrMCGDRvQ1NSECy64ADZbcEOu6ZfVW5dxK6oNfK4cANhdtmWOzDUDAHYcrQv4HDe+vhUAYLMLGAwG9E5Wgp5AAsWPdpXAYhM4pVeSW6AVrQZ5/pqv7Cp2NCIxuwRM/kYoHKluBuC/pk4Gjh26raN1rcE1PZHZPhkU16qZQHNccJ0x7z3XvSlOQgw3DhARERGdCGEN8i688EL8+te/xqBBgzBo0CA8/vjjSEhIwKZNm2A2m7F27VrMnj0bgwcPxqRJk/D8889j27ZtOHr0KACgvr4eL7/8Mv785z9jxowZGDNmDJYtW4bdu3fj888/D+dXIxd9dJmkw1XNQR27Vh0fAACnDUiHjPke/2SvU9bKF32QBUDL5JXWt7oFka7eU7OQ+iye1NimBHcPvv+D1+PLG9rw3WGl6cqN0/piw33Tnd73V5PXqAaQSbG+gySZVezQrUlNU3DjC+QcvTK1Q2epOgMwMzG47bVXeugCGh9t8vBJIiIiIgq1LtN4xWazYcWKFWhubsbkyZM9fqa+vh4GgwHJyckAgG3btsFisWDmzJnaZ3JycjB8+HBs3LjR689qb29HQ0OD0z/k29tbilDwu49x5tPrnDJFgWrRBTBL1xdCiMCbpuiDwmU3TMTpA9O155sP+u+yqQ/iXrnuVABAVmI0IowGWGwC5Y3e59wVVjZhR1EdTEYDZo12D/KkLYdrvb73ha7pyoS+aW61cbLZibcgr6nNMUDdF0+ZvD2lSnA7INP7fD092aGzsc2K/eWNOKxmEfumH3/TlOgIBnlEREREJ0LYg7zdu3cjISEB0dHRWLhwIVatWoVTTjnF7XNtbW343e9+h6uuugpJScqWubKyMkRFRSElxbmtfFZWFsrKyrz+zCeffBJms1n7Jy8vL7RfqofZfLAa//veLgDKKAM5sy0YrR3O2xllhsgfIQSeXP0TAGDelAIAwE1n9Nfe31lc5/ccDW2Oerip/ZUAMcJkRK6azTtc5X376Ac7lBrQMwZlICPIbJYk59YZDcDZQzLd3pcNXLzV5DW3BxbkyUze5kM1+FAd91BYoQRpQ3v5H58AOI9JWL27DB/vKgUA9AtBkEdEREREJ0bYg7zBgwdjx44d2LRpE26++WZce+21+PHHH50+Y7FYcOWVV8Jut2Pp0qV+zymEUnflzf3334/6+nrtn6KiouP+Hj3Zox86//uoDXDsgCSEcGu2EmiQpx9xUNmozH9LiI7AbWcPVM/jv6auSJ0xlxgT4dSdMj9NCVxkzZsne0qULO+ZgzM8vn/hKMeAcW/ZSfkdbp0+AEYPYwj81eTJOXf+atqidM1cFr31PdosNu2cwXQzlUPTn/l8P9rVrODIvOSAj/fk4gAGsRMRERFRaIQ9yIuKisKAAQMwfvx4PPnkkxg1ahSee+457X2LxYLZs2fj0KFDWLt2rZbFA4Ds7Gx0dHSgttZ5q1xFRQWysrK8/szo6Gito6f8h7xzDV18xM8ebT/q+PcTr25NlNktf/RB3vDeZu1xglrfJQec+7JunxIkTShIdXpdbkF0HbSud6hKCU77pXve7vjEJcO1x+1etrFWNyvBaVq857o4OULBZhduNYb6rar6jpyeuI5XkE1TTEYDkoJoejIgw/275pi9z+fzJj1B+b63nT0Qz8wZHfTxRERERNQ5YQ/yXAkh0N6u/E+xDPB+/vlnfP7550hLc56zNW7cOERGRmLt2rXaa6Wlpfjhhx8wZcqUE3rdPVmzS+fIIMrpAABzX9qsPR6vBloHKwMbo1CtC/Lkdk0AiItSgpbmDt9dLQHHmIRRLtmo/DSlGYy3RjBWmx1Ha5QAsG+G5+2K8joAx2w5V1Vq8xNv2bRo3VB112zeIV2WcXCA3TUBpVFKbbOyTTUlLtJnZtuVp5l4wRwvvXrdBPzh4uG44+yBnTqeiIiIiDonrD3NH3jgAZx33nnIy8tDY2MjVqxYgfXr1+PTTz+F1WrF5Zdfju3bt+Ojjz6CzWbT6uxSU1MRFRUFs9mM+fPn4+6770ZaWhpSU1Nxzz33YMSIEZgxY0Y4v1qPUVTTogU6kuwoGYgDFY1OtWbTBqbjq/2V2OnS7dIbmYU7tSBFa1ACODo1egus9GQNYbZLNio3RQnyvG35PFbXCotNIDrCiF5JnjNZJqMBMZFGtFnsaG63ItVDtq66Sc3kJXjO5EXrMnBf7q3AxWMcDV5kY5nspBgU+KmLizQ5AilzbKQ2CD05yPEHwY5L8GZ4b7NT9pWIiIiIToywBnnl5eW4+uqrUVpaCrPZjJEjR+LTTz/FOeecg8OHD+ODDz4AAIwePdrpuHXr1uHMM88EADzzzDOIiIjA7Nmz0drairPPPhuvvvoqTCZ28guFC57f4PaanKEWiCLdsHFzbCRGq9m0HUV1fmsnbXaBv391EIB7JknL5PmZT3ekulnbRpmrm9UHQGukUqHW+rk6WOXoLOmplk6Kj4pAm6XDa8Apt5ymxXvO5Om/W6XuWv76xc/421eFAICpA9LdjvN1nsSYCNS2ODJ5wRiTlwyDwZGx1WdQiYiIiKjrC2uQ9/LLL3t9r6CgIKA2+zExMXj++efx/PPPh/LSSKUP6O4+ZxD+vHa/NmA7EA26z1ptdgzLMcNkNKCysR2l9W3IcQm89GRNGQBceapzB9R4Ncjzl8nbqhttMLGf83ZfOfutqqkddrtwC+QOVQY2PiAu2oTqZs8D0X8qa9CCLW+ZPED5fiu2FKHdqnyfQ1XN+Mva/dr7F47q5fMaAMeoBUAJgmvU9UsJMjOXlxqH/NQ4rVbxivG5QR1PREREROHV5WryqOuS2x2DyeT9cMyxLdNqF4iNMmFItlJbtsvP+IPqJkeQd8kY5xl1cep2TV9bRysa2vDC+gMAgBtO6wuTSxAngy6LTXj8ToeqAgvy0tVauzKXjqF2u8CiN78HoHS+TPURbMktmzLr2OoSvE7p7z+TN7pPsvbYarejrrlzQR4ADNLV/+nrDomIiIio62OQRwGZNjBdq+0KJsj7538PaY/HqEGIrC1zDYpcyVq2AZkJbts15dDuisY22OyeM773vLsLB9VsnGvTFUAZzi2bjFQ2uW/ZDDTIG6gOGt9f3uj0+lf7K/FzhdJgZvmNE31u+YxWO2y+tvEwAPeGMq6dMz1JiI7AM3NGAVAGossMYnJ8cNs1Adcgj1ufiYiIiLoTBnk9XGVjOy5/cSPe2Rr8LEAhhJb9+tMVo2COVYKF8iAGmevJNvrJ6nlkEOJNlVbL5p6J6pUUg6gIIyw2oXXP1LPY7Ph6f6X2fLSXOW8ZahauosF7kNfPS2dNSQZErkHegQpHB9FTXcY3uDKqQWxDmxWbD1Y7bf088Ph5Po/VS451ZCfLGpR16Uwmb0SuWb0uICkm+CCRiIiIiMKHQV4P9+c1+7D1SC3ufXeXU9ARiHarXcuSxUdHaEFeWUMb/qN2rPRFn/F7/JLh6GVW6u9k9sxfRrBGza6lexg9YDQaMFTd9ik7cOrpA64h2YnITfFc+5eZJJuvOAeubRYbjtUpQVJfLzPyJG9Bnhz4ftPp/XweDyj1itLWI7Vafd3EvqmI8DMfT09m/I7VteKT3Uo32mAbrwDAOUOz8Oyc0Xj7pslOXU2JiIiIqOtjkNfD6YeOX7r0G7RZ/I8ckGS9m8EAxEWatCAPAG5fscPv8fpOkXMn5muPZbapTtdYxRM5I89bwxLZSKWoxn2Y+c4ipRZwZK4ZK2+Z4rWLp8zkVbls1zyszqczx0b6DZIK0pRMX3Ftq1P28oA6CzDLy/gFPf0Q9MrGdi2TlxjEEHPAMStPP0Q+2BEKgBJEXzymtzbXkIiIiIi6DwZ5Pdy6fY4tiw1tVi07FQgZaCRERcBoNDgFeYGQQd6ATOdMmDyPv0yeHCLuafYcAMSodWyyWYnejiKlq+bpAzN8Ng6RYxQqXcYo6Dtr+hvkLbOB7VY76tQtqG0WG745UAVAqWf0x6KrKzxS3ayNhoiPDi7I81S7F0iXWiIiIiLqORjk9WCeGpJ4ql/zxjXQiIkM7naR8+fkqAIpRt3+px+S7n5sG7YcrlGP95wJc3SkdM9Oykyep4Yret6CPDkjr5+fpiuAEmzKbF+xur7FtS2w2QUSoiPcglxPLLpAdd2+Snx3SPnuCUEGee0eMrVj+qQEdQ4iIiIi6t4Y5PVgTR7GCxQHEeR9f1TJhsngzjWjpd9i6MmnPyg1YRkuQZ6v4AxQMk9z/r5JqyEsSIvz+DnXsQNSa4cN+yuU+rhRagMRb7Qgz2W75p4SJUgcqOsy6cvw3srPkfWBR9QZc31S4/xmAgH3tVzzYzmA4IO8kbnJTs8XnN4voO2iRERERNRzMMjr4vaWNuDG17fip7KGoI9taHPfDnmszr1+zZsH/7MHALSh2ADwh4uHa4/rfHTHbLPY8OkeJcjr7TLwXAZn24/WaVsa9Y7WtGidLQEg30s2TY4d6HAJ8iob2yEEEBtpQqafACcjIUY7Rm9vqRIkjvQTJEoyWyZrIOWMP7mV0x9v3T+DDfJio0z417zx2vPx+cziEREREZ1sGOR1cfNf3YK1P5Zj/qtbgz5WX38nZ9QdrQk8k+fJbyfla90xfTVO2XakVns8b2qB03uylg4A7l+52+1Y1y6gvbwEatEmz5m8qmYlYPPWsEVPZvIqXII8GfTlJHvuyukqSW2QIre47jpWByDw8QVzJ+Xj0YuGub2eEGTjFcB5xt3QXklBH09ERERE3RuDvC6qtcOGFd8dRYnahj+YhinSlf/YBEBpoX/3OYMBAOv3VcDuZXi4XkuH+1ZPKVUNXPQdHF3tKla2O54/spdbTV20rjnIUQ+dMWUWTPI2RDw60vO2T3l8mofRC65kkFfXYtEygm0Wm9Z0xlvTF1eybrGp3YrvDtVg2aajABBws5pIkxHXTinAbybkeTxvMHJT4rDmztPx2R2nIy/V81ZXIiIiIuq5GOR1US9vOIjfechyBUrfUbG2xYJx6ra9xjYrmn0EcJJ+K+Zr109wei9FDXxqfWTyZCYsL8U9yNBn8jyRmTgA+PMVo7x+TqvJs7hv1wSA9AACtOTYSMiSOdntUwavkSaDlqHzR26rbGyz4o1NR7TXXUcz+BPlMhMv2I6m0qCsRAzODqyekIiIiIh6FgZ5XdS724rdXgumFb7rFsaYSCNMakaspcP3rDwhBOb841sASpBxxqAMp/dlJ8maZu81eY1qPaCnOW/RHtr868lM3E2n98Nl43K9fi46QgkWtx6pdco8HqlR6vkCyWIZjQYtQJNBnswuZibGBNQ0BXAEec0dVrTq1ve84b0COl6KdgmAJ/dPC+p4IiIiIiIGeV2Up/ECDa3+M3CSPtCIizLBYDAgTh1dIOvGvKlsakeRWrvX6iEglHVmvjJ5sulLkodMlGsg4xq8lqhbU/01TRFwHLdmT7n2+LDatMVbV05XrnP7dhbVAQBG9A6s6QrgqJ1rarOivlVZl3lTCnDe8OyAzwE4B8DXT+2LpJjOZfKIiIiI6OTFIK+L8jSeoDiIzpgtunlpMnCIV4eC+8vk1eoydB0erkMGRQ0+hpk3quMbPG13jHSpsWt2uR7ZzbNvuu8gLcrkCBYLKx3NWn44pnQiHRTgdkXt+6iB6c7iOgDAaLVZTSAStJo8m7bVdeawLK/1hN7og7wRuWyaQkRERETBY5DXRXnaJRjoIPPGNotTtu63k/IBAHHRgWXyqpt915EluQRFrv7xdSE2FlYrn/WQiXLtGFmra+DyzYEq7C1VgrSCNN+DyKf0T9Map+xUG73sKanHsbpWRBgNbjPjvHENWmWQGOj4BMAR5FU1teNntTtocmxgTVv0onRBXmeOJyIiIiJikNdFeSq/C6TDZkVjG059/HPMfOZr7bVFZw0E4MjklaodO73Rd7c0echEyexcg4dh6wDw+reOxiOesmlxURH4aNFp2vN6XUbw9hXfa4/9BXlGowGvzDsVgLLFUgiBt75TulqeN6JXwDPmZJD33aEatFlsKKpVMomDAhyEDnieZ+c6BD4Qss4QgDaqgoiIiIgoGAzyuijXxilAYJm8NXvKner5+qTGadmhGHXkwL+3FHk9vrCyCXe/vVN7/uyc0W6fSVSzcx/vKvVw3Tatpm7Nnae7DUKXhvc2Y7AaROk7efZRm6XkmGMC2uo4ODsRURFG1LdacLi6BYUVSj3e2UMy/R7ravnmozhQ0QQhlAArLcDxCYDnUQfpAczpcyX/HQFAcoAz9oiIiIiI9BjkdVFtFve6uUAyea6NTvRB1rAcZfuhp3o/6cp/bNLq8O6YMRAXjspx+0yEyRF8Fdc61wluPVwLu1C6ag7MTPBzrc5dLQGgVQ1QH7rQfTC4J5EmI4bnKLVrO4pqta2m6QHMyJP0P3/3MWXbZ/+MhIA7awLO2yylYI6X8nXZy86OTyAiIiKikxuDvC7IarPDqhtYnq92iQwkyNMHh6NyzXjqspHa8wtHKe38yxq8b9eUM+YAYHx+qsfPjO2Toj1ucqnvW7+vAgDw6+G9/AY5cl5eh0255qqmdq0eL5gs2OBsJcg7XNWiG4Qe+PE23VrvUpuuDMjwHaD6k9iJIeYAMCo3GVERRvQyxzDIIyIiIqJO6dz/idIvqs1lq+aU/uk4Un00oO2aTWqd3JDsRLx/61SnQCtLHUlQ0dAOIYRbEKYfZTBjaBZOG5ju8WfkpcYhOsKIdqsdFqtz8eAOdfzAqX09B4h6cvB3h/p9tx+p1d47JSfwzpJyFl9Tu1Ub6xBMkFeQFo/Nh2oAADuLlEzeAD9ZSH9eunZ8p46LjTJhywMzAIPnekgiIiIiIn+YyeuC9Nm4OePzcPfMQQCA6uYOj3Pr9OTogjF9kt2CuMxEJcjrsNlR0+w+405fy/fslaN9/pxsszyX43qsNru23XF0XrLP4wHHFkdZf3i4Wqmnu3BUDuKiAv/9g5z/V1LXCpmUSw2inu1/fzVYe/yjmkk8niAvLsqEif06P8TcHBfJLB4RERERdRqDvC5IBnnREUY8dflIpMVHad0bj/mZldfUrtSXJXoYXRAVYdS2QXrqsNmojkQwGoD4KJPb+07nMjkHaIASpLVZ7IiPMqFfuu/OmPJ6AEcmr6ROuabcFM/NWryRXUOP1ihrkxIXiQhT4Ld2WkI0+mc4X++IIMYnuNJv/yQiIiIiOtEY5HVBMqMma9YMBoPWQKXYz5ZNmcnzNj5AZuDKPdTlybl3SbGRfuvpXAM0ADigdrbsl5EQUGfMaJdMXlVT8E1TAMf8vz0lShYuNYiumFJhZbPT82CvQY9BHhERERGFE4O8LmhAZgIOPH4eNv7uLO213mp2a9mmI94Og9Vmxwp1PEJijJcgT63L89R85bkvDgBwZMZ88RTkHaxShoC7ZsUCOUe71YaP1JEMwY4e0M+WU44PPkDTjy44XlYGeUREREQURgzyuqgIk9Fp9prMTn1zoNrjeAUA+GBnifbYWyZPNl8pd9mu2dxuxYfq8XLbpi9yu6bF5ghoCnWZvEBEmUzqz7Ni6bpC7fUkD1tNfal1qS8MpmmL9NGiaUEfQ0RERETUFTHI6yZumNYXANBqseH+lbs9fub7o3Xa4+hIzzV13jJ5cqsjAPxmQh+/16Nl4XSNVxyZvMCCvGg1e/avbw7huS9+1l4f0yc5oOOl80f2cnp+VicGoQ/ITMD4/BT/HyQiIiIi6uIY5HUTeSlx2uNV3x/z+JlvD1Zrj1tc5tdJqepWyLoW52ydrNEb0duM+3891O/1uI4/EEKgsEIN8jID3K7poTnK05ePRHIQnTEBICfZuVHLtIEZQR0v/fHykZjcLw1vzJ/QqePl8PcJAYyPICIiIiL6pXBOXjcR72e4ttVmxwE1yAKA0V6yYbLrZoPLlkzZmTInOSag63Gtyatu7kBDmxUGgzJ3Lphz6A3v3fmulserX0YC3lowqdPHv3b9BKzYUoTfTvKfCSUiIiIi+qUwk9eNfPg/p2mPO1wGpr+lNlwBgHcXTsaQbM91aUlqQxbZhRMAimtb8PRn+wAAybGBZdFcZ9x9W6hkEXNTYrWuoP5EewjyhvYKvp6uq8hJjsVd5wzS5hESEREREYUDg7xuZFhOEiLU0QSy/k06XKU0PUmMjsD4Au/bBWUmb09JAw5UNAJwBGgAUOxnDp/kOv7gDbXrZy9z4DPuJh3HwHBXGYlKR80zB3duqyYRERERUU/BIK8bMRoNmDIgHQCw4ecqp/dq1A6Ti84e4PMcSbrRCv/8+hAAoL7VsXXz/BE5AV1LmjqmoLJRmW3Xrnb8nNI/8MAtlFsz37xhIuaf1hd/vmJUyM5JRERERNQdMcjrZuQMuqom57EBcpB4WrzvGXFy3h7gyAbKpiv5aXG4fFxuQNchu3R+vrccAFCnBoqnqUFoZ9wzc1Cnjx2YlYgHLzhFCz6JiIiIiE5WDPK6GTnou1oN6iQZ9KX6GSQeFxWBx2YN0x4DQEmdEuRdM7nAYzMUT2RHy+LaVlQ0tGmz6oLtjKl363TfWUgiIiIiIvKPQV43I4ei1+gGgB+uasbeUmXOXV6K/5q4DDVQlNm34rpWAEDv5MDr6aYNdGTsthyuRYPayCU5LrhB5vrmKwaDIahjiYiIiIjIHYO8biZNDfKqdEHeE5/s1R7npca5HeMqTh3HsLOoDqX1rThWqwR5uQEEiFJMpAmzxytbOzccqAQAmIwGmGODC/L+36zhAICbzugX1HFEREREROQZ5+R1M2ketmsm6GboRUf4H18QH+X4zPJNR7V6vmAyeQBQkK7UB771nTK+ITclFpEeBpz7csX4XEzqlxZUgElERERERN4xyOtm0tWau2pd45U2q9LZ8pELTwnoHDa70B7L7phxUaagt1rmpzoPPc9MDL7picFgQJ80/9lHIiIiIiIKDLdrdjMyk9dqsaGlQ6mDkwFfoJ0lB2QmaI8PVSvz9bLNMUHXxCXFOv+O4LKxgXXmJCIiIiKiXw6DvG4mPsqkdcCUwV11swzyAutsmZYQrY1KOFipjFEItpYOcHTnlE4fxEHkREREREThxiCvmzEYDEhXm6/I4K46wBl5emP7pABwjF5IjAk+yIuPdq7/68x2TSIiIiIiCi0Ged2QvvmK1WZHbYtFfT3wGXUZLgFZUkzw5ZnxLpm8iCCbrhARERERUejx/8q7IRnM7T5Wj5oWJRNnMAApQQwidw3yOpPJi4vy38mTiIiIiIhOLHbX7IZ+NSwb6/dVYsmXB7TxCb2SYmAyBt44ZXhOktPzxM5k8qJ5+xARERERdTXM5HVDc07Nw/kjesFqF/jDx8og9Py0eD9HOYswGTG5X5r2fNbonKCvIzrCcfuwHo+IiIiIqGtgKqYbMhgMWHzZCOwtbcDBKmUEQt+M4II8AKhrtWiPT+mV5OOT3q9j7Z2n4/O9FZhzal7QxxMRERERUegxk9dNJcZEYulvx2rPZbfMYAxTt2zGRBqDnpEnDcxKxM1n9kdqfOD1gERERERE9MthJq8bG5KdhOU3TMSXP1XggpG9gj7+npmDkRgTgfmn9f0Fro6IiIiIiMLBIIQQ4b6IcGtoaIDZbEZ9fT2SkoLftkhERERERPRLCzRu4XZNIiIiIiKiHoRBHhERERERUQ/CII+IiIiIiKgHYZBHRERERETUgzDIIyIiIiIi6kEY5BEREREREfUgDPKIiIiIiIh6EAZ5REREREREPQiDPCIiIiIioh6EQR4REREREVEPwiCPiIiIiIioB2GQR0RERERE1IMwyCMiIiIiIupBGOQRERERERH1IAzyiIiIiIiIehAGeURERERERD1IWIO8F198ESNHjkRSUhKSkpIwefJkrF69Wnt/5cqVOPfcc5Geng6DwYAdO3a4naO9vR2LFi1Ceno64uPjcdFFF6G4uPgEfgsiIiIiIqKuI6xBXm5uLhYvXoytW7di69atOOusszBr1izs2bMHANDc3IypU6di8eLFXs9xxx13YNWqVVixYgU2bNiApqYmXHDBBbDZbCfqaxAREREREXUZBiGECPdF6KWmpuLpp5/G/PnztdcOHz6Mvn374vvvv8fo0aO11+vr65GRkYE33ngDc+bMAQCUlJQgLy8Pn3zyCc4999yAfmZDQwPMZjPq6+uRlJQU0u9DREREREQUCoHGLV2mJs9ms2HFihVobm7G5MmTAzpm27ZtsFgsmDlzpvZaTk4Ohg8fjo0bN/5Sl0pERERERNRlRYT7Anbv3o3Jkyejra0NCQkJWLVqFU455ZSAji0rK0NUVBRSUlKcXs/KykJZWZnX49rb29He3q49r6+vB6BExkRERERERF2RjFf8bcYMe5A3ePBg7NixA3V1dXjvvfdw7bXX4quvvgo40PNECAGDweD1/SeffBKPPvqo2+t5eXmd/plEREREREQnQmNjI8xms9f3wx7kRUVFYcCAAQCA8ePHY8uWLXjuuefw97//3e+x2dnZ6OjoQG1trVM2r6KiAlOmTPF63P3334+77rpLe26321FTU4O0tDSfweHJoKGhAXl5eSgqKmJ9YghwPUOPaxpaXM/Q45qGHtc0tLieocc1DS2up3dCCDQ2NiInJ8fn58Ie5LkSQjhtpfRl3LhxiIyMxNq1azF79mwAQGlpKX744Qf88Y9/9HpcdHQ0oqOjnV5LTk7u9DX3RHKsBYUG1zP0uKahxfUMPa5p6HFNQ4vrGXpc09DienrmK4MnhTXIe+CBB3DeeechLy8PjY2NWLFiBdavX49PP/0UAFBTU4OjR4+ipKQEALBv3z4ASgYvOzsbZrMZ8+fPx9133420tDSkpqbinnvuwYgRIzBjxoywfS8iIiIiIqJwCWuQV15ejquvvhqlpaUwm80YOXIkPv30U5xzzjkAgA8++ADXXXed9vkrr7wSAPDwww/jkUceAQA888wziIiIwOzZs9Ha2oqzzz4br776Kkwm0wn/PkREREREROEW1iDv5Zdf9vn+vHnzMG/ePJ+fiYmJwfPPP4/nn38+hFd28oqOjsbDDz/stp2VOofrGXpc09DieoYe1zT0uKahxfUMPa5paHE9j1+XG4ZOREREREREnddlhqETERERERHR8WOQR0RERERE1IMwyCMiIiIiIupBGOQRERERERH1IAzyiIiIiIjohGHfx18eg7yTFP9whUZpaSlqamrCfRk9Eu/R0OA9+svhPRoavEd/ObxHQ4P3aGhVVFSgsbFRe8779JfBIO8k0NHRgaeeegpLlizBV199BQAwGAxhvqruraOjA3PnzsXUqVOxb9++cF9Ot8d7NPR4j4YW79HQ4z0aWrxHQ4/3aGhZrVbMnz8fEyZMwIwZMzB37lxUVVXxPv2FMMjr4VavXo2cnBy8//77eOWVV3DJJZfg97//Pdra2sJ9ad3WX//6VyQnJ+Pw4cNYuXIlJk+eHO5L6tZ4j4Ye79HQ4j0aerxHQ4v3aOjxHg0tq9WKefPm4ccff8Rrr72G3/zmN9i1axcuvfRS7N27N9yX1zMJ6tGuuOIKcdNNNwkhhKipqRHvvPOOiI6OFs8884xoaWkJ89V1P1dddZUwGAzixRdf1F5raGgI4xV1f7xHQ4v3aOjxHg0t3qOhx3s0tHiPht7Ro0fFwIEDxRtvvKG9VlpaKnr37i0WLVokysrKwnh1PRMzeT2MzWbTHh86dAgbN27EtGnTAAApKSm4/PLLsWDBAixbtgwbNmwI12V2K/o1nTFjBvr164cRI0agqKgICxcuxPXXX48bb7wR7777bhivsvtoampCS0sLAODgwYO8R0OgqalJq284++yzeY+GEO/R0OPfo6HF/9aHjtVqBcB79JdQXV2N4uJiTJo0CQDQ3t6O7Oxs3H///VizZg2+/vrrMF9hz8Mgrwd58MEH8eCDD2rPCwoKYLVa0dDQAABobW0FADz88MNobm7G6tWr0dTUFJZr7S5c1/S6665DQUEB5s6di4kTJ6K6uhoDBw7EoUOHMHv2bHz44YdhvNqu795778XkyZNRVVUFgPdoKMg1lU0Brr/+et6jx2HNmjXYuXOn9sudvn37wmKx8B49Dq5ret111yE/P5/3aCcVFhY6NarIz8/nPXqc5JpGREQA4D16vJ544gk8/PDDWLFihfba0KFDkZmZiWXLlgEAjEYlBLn11luRmJiI1atXo729PSzX22OFO5VIx+/9998XWVlZYuLEiWLJkiWipqZGCCGE1WoVCxcuFCNHjtQ+29HRIYQQYvHixSIvL0/U1taG45K7PE9rarVahRBCbNq0SYwZM0a8/fbb2mtCCHHjjTeKgQMHamtMDi+++KJISkoSubm5wmAwiHXr1gkhlPuR92jnuK7p+vXrtfd4jwbvlVdeEdnZ2WLEiBEiMTFR3HLLLeLYsWNCCCFuuukm3qOd4GlNjxw5IoQQ4ttvv+U9GqSXX35Z9OnTR4wbN05MnDhRvPHGG9raLViwgPdoJ7iu6bJly0R7e7sQQoiNGzfyHg3S5s2bRZ8+fcTYsWPFeeedJxITE8Vll10mCgsLhRBC3HPPPWLQoEGivLxcCCFEa2urEEKI1157TSQnJ2vPKTQY5HVzTU1N4sILLxSPPfaYx/ffe+89MXjwYPHss88KIYRoa2sTQghRWVkpYmNjxX//+98Tdq3dhb81FUKIb775xm1//t69e0VUVJTYuHHjL32J3cZ///tf0bdvX9GrVy/x5ptvisLCQjF27Fjxj3/8Q/vMe++9J4YMGcJ7NEDe1vSf//ynEEIIu90uhFD+B4X3aGBeeuklMWDAAPHWW2+JyspKsXz5chEfHy927NghhOA92hme1jQhIUF8//332md4jwbu2Wef1dZzw4YN4qGHHhIGg0EsXbpU2O128eGHH4pBgwbxHg2CpzU1Go3ihRde0NZvw4YNvEeDcNddd4nzzz9fCCGEzWYTu3fvFvn5+WLhwoWirq5ObNq0SYwdO1bccsstQgjHf6/WrVsnMjMzxc6dO8N27T0Rg7xu7qOPPhIZGRnCZrOJmpoacd9994nFixeLZcuWCSGEqKurE4sWLRJ5eXnab6WFEGLNmjWiT58+2v/EkIO3NX3zzTedfpsn2Ww2IYTyPzVZWVli9+7dJ/qSu6x7771X3Hrrrdp/MIUQIj8/XzzyyCPa84qKCnH77bfzHg2QvzX19Ntl3qOe2e12YbVaxVVXXSWuvvpqp/cGDRoktm/fLoQQoqysTNx22228RwPgb029rRXvUe+am5vFOeecIx5++GEhhON/jKdNmyZyc3PFp59+Ktra2vjf+iD4WtP8/HyxcuVKt2N4j3pnt9tFXV2dOO2008Q999wjhHCs19KlS8WYMWPE3/72NyGEEM8884yIi4sTK1eu1LKmf/jDH8SZZ56p/Xug0GBNXjcl1P345eXlmDp1KtatW4dx48Zhx44d2LhxI6699losWrQIdrsdd911F3Jzc3H++edj+fLlOHDgAP71r39h0KBBGDhwYJi/Sdfhb02vvvpq3HnnnSgtLXU6zmg0oqSkBKtXr8Yll1yCYcOGhePyu6TFixdjyZIliI6O1grazzzzTKdGABkZGZg/fz4KCgp4jwbA35pGRka6HcN71DODwQCTyYQff/wR0dHRKC8vBwDcdtttMBgM+OCDD/Dtt98iKysLt99+O/8eDYC/NX3//fexadMmt9b+vEe9i4iIwLZt2zB48GAA0OqWMjMzYbfbsXz5clgsFixatAh9+vThPRoAX2tqsVjw/vvva7XjEu9RZ9u3b0d9fT0A5c+92WxGW1ub1gTMYrEAAG644Qb07dsXn3zyCUpKSnDrrbfi1ltvxbXXXouZM2di9uzZePzxx3HFFVfAYDBwMHoohTnIpAC9/fbb4oYbbhDPPvus2LVrl/b6W2+9Jcxms7jlllvEQw89pP0W/9VXXxUTJ04Uf/rTn4QQym+if/WrX4mhQ4eK3r17i6lTp4pDhw6F46t0GZ1Z00mTJomnnnpKCCFEbW2teOutt8Sdd94p0tLSxLnnnuv0G9STjbf1lL/Nk2666SYxffp0UV9f7/Qe71F3nVlTPd6jzryt54oVK0R+fr6YOXOmSEtLE0OGDBGPPfaYmD59uhg5cqRYvHixEIL3qCedWdNRo0aJxx9/XAjBe9SVt/X8zW9+I4YMGSKKi4uFEEIsW7ZMTJ8+Xdxwww1iwIAB2jY33qPuOrOm+kw+71Fn7777rsjNzRX9+/cXffr0EQ899JC2hs8995xISEgQzc3NQgihZeree+89kZubK7755hvtPO+88454+OGHxcKFC8XevXtP/Bc5CTDI6+KqqqrE5ZdfLrKzs8XChQvFaaedJnJycsSrr74qhFBS5MOHDxcGg0G88sor2nF2u11cdtllYv78+dofsra2NlFaWnrSbzE43jW94YYbhBDKf0yffvppccYZZ4gPPvggHF+lS/C2nq+99pr2GbvdrgUmr776qkhKSnLa+irf4z2qCMWaCqFshf3Tn/7Ee9TLeur/fFdUVGh/nvU1ODfeeKO45JJLnBoF8B4NzZrW1dWJqqoq/j0qPK9nr169xOuvvy6EEGL//v2iX79+ol+/fiInJ0fExcWJ9957TwghREREhPj444+1c/HvUUWo1rS0tJR/j6q2bNmi1Sfv3LlTLF26VGRkZIibb75Z1NXViSNHjoj+/ftrMxv15QNpaWni5ZdfDteln5QY5HVx77zzjpgwYYL2WxIhhJg1a5bo27evWLVqlRBC2e9sMBjECy+8ICwWi/a5efPmicmTJ2vPuddZcbxrOmnSJO15Y2PjCbvuriqQ9dRnnj7//HORl5cnvvjiixN9qd1GKNeU96jv9ZS1NxaLRVx55ZXiD3/4gxDC8Rvou+66S/Tv3180NTUJIfj3qBSKNZVDunmPel/PgoIC7c98UVGR+Oyzz8Rrr72m/c9zRUWF6Nevn3jnnXfCcdld2vGu6dtvv60dd7Lfo/LvvRdffFHk5uY67RpZsmSJmDBhgnjyySeFEEK88MILwmQyia+++kr7TGFhoejfv78WRNOJwZq8Lu7NN99Ebm4uevfurc25ueSSS3D48GEsWbIE1dXVuOmmm3DOOefg+eefx5dffgkAKCsrQ0lJCa6//nrtXAaDISzfoas53jWdP3++dq6EhISwfIeuxN96VlVVwWg0ajOyUlNT0dHR4TRknpyFck15j/pezxdeeAEVFRWIiIhAdXU1tm7dCgCIiopCeXk59u/fjyuvvBLx8fEA+PeoFIo1jY2NBcB7FPC+nkeOHMGSJUtQWVmJ3NxczJgxA9dcc41We7tu3TpERUXhtNNOC+fld0nHu6ZyuDzAe1T+vXfo0CEMGjRImycIAPPmzcOpp56K//znP9i/fz9uvvlmXHnllZgzZw4ee+wx7NixA3/84x8RFxenDUKnE4NBXhfy9ddf47PPPtOaKQDAwIEDsWfPHgCOv2R++uknnHXWWWhtbcXKlSthNBqxfPlyZGZm4qqrrsKvf/1rjB49GhaLBeeff35YvktXwTUNrWDXs62tDatWrQIAmEwmAMCYMWNgt9vxzTffnOCr75q4pqHVmfV8//33AQD3338/Pv74Y0ydOhW33HILxo8fj4aGBixYsOCEf4+uhGsaWseznkajEZWVlfjpp5+wZMkS3Hnnnbj00kuRnp5+Ujes4JqG1tq1a3Hbbbfhueeew3fffae9PnXqVGzcuBFlZWUAAJvNhvj4eMyaNQtGoxEff/wxDAYDli1bhiuuuAKrVq3CFVdcgS1btmD58uXIyckJ11c6OYU7lUjKHJtrrrlGGAwGMWrUKKci6cLCQpGRkSHOOOMM8dRTT4nJkyeLvn37ii+++EKMGjVK/P73v9fqcMrLy8WaNWvE008/rW1FOFlxTUPreNbzwQcfFEI4tntUVlaKm2++WXz55Zfh+CpdBtc0tI73z7y0atUqcd9994mrrrrKabvWyYhrGlqh+DMvhBDbtm0TF198sejbt6944403wvBNug6uaWiVlJSICy64QGRmZoq5c+eKESNGCLPZLDZv3iyEUGqShwwZIhYsWCCEcC4bmDZtmrj55pu15zabTTQ3N4uffvrpxH4J0jDICzOLxSKWLl0qzj33XLFixQoRFxcnnnzySacZWBs2bBA33nijGDt2rPif//kfUVlZKYQQ4uqrrxaXXXZZuC69y+KahhbXM/S4pqHF9Qw9rmlohXo9ZefHkxnXNLSam5vFtddeK+bMmSMOHjyovX7qqaeKefPmCSGEsFqt4vXXXxdGo9GpU6YQQsydO1dMnz5de8765fBjkNcFbNq0SXz44YdCCCEeffRRkZGRIb7//nu3z8midSGUDNPw4cO1gnbXluonO65paHE9Q49rGlpcz9DjmoZWKNZT3wiMuKahtmDBArF69WohhGNdHn30UTFx4kTtM21tbeKSSy4RQ4cOFevXrxd2u12UlpaKCRMmiJdeeiks102eMcjrAlx/25GTkyMWLFigtZzWv9/a2io6OjrE0qVLxZgxY5xmvpAD1zS0uJ6hxzUNLa5n6HFNQ4vrGXpc09DSjzyQa/fb3/5W3HjjjU6vtba2ijPPPFNkZmaKmTNnipycHDFp0iRx9OjRE3/R5BWDvC5E/qbp7bffFhEREWLNmjVO7xcXF4ulS5eK8ePHi9TUVPHmm2+G4zK7Fa5paHE9Q49rGlpcz9DjmoYW1zP0uKa/nGnTpmnzL+12u9azoKysTKxZs0Y8/vjjYvny5WG8QvLGIMRJ2jqoi5syZQri4+O1Do+VlZXIyMjAW2+9hZKSEtx9993hvsRuh2saWlzP0OOahhbXM/S4pqHF9Qw9rmnoHDx4EFOmTMHHH3+McePGAQA6OjoQFRUV5iujQDDI62KsVisiIiKwZ88ejBo1Cn/5y19QWFiIDRs24LXXXsPw4cPDfYndDtc0tLieocc1DS2uZ+hxTUOL6xl6XNPQEULAYDDg9ddfx2OPPYYDBw4AAB599FGUlZXh0UcfRWZmZpivkvwKax6RfDr11FOFwWAQ+fn54tNPPw335fQIXNPQ4nqGHtc0tLieocc1DS2uZ+hxTUPj1ltvFf/7v/8r1qxZIwoKCkRmZqb47LPPwn1ZFCAGeV3QgQMHxPDhw0VcXBw7FYUI1zS0uJ6hxzUNLa5n6HFNQ4vrGXpc09BpbW0VAwYMEAaDQURHR4vFixeH+5IoSMZwZxLJnclkwmWXXYaqqirMnz8/3JfTI3BNQ4vrGXpc09DieoYe1zS0uJ6hxzUNnZiYGBQUFGDhwoWoq6vDfffdF+5LoiCxJo+IiIiIiJzYbDaYTKZwXwZ1EoM8IiIiIiKiHoTbNYmIiIiIiHoQBnlEREREREQ9CIM8IiIiIiKiHoRBHhERERERUQ/CII+IiIiIiKgHYZBHRERERETUgzDIIyIi6qRHHnkEo0ePDvdlEBEROeGcPCIiIg8MBoPP96+99losWbIE7e3tSEtLO0FXRURE5B+DPCIiIg/Kysq0x//+97/x0EMPYd++fdprsbGxMJvN4bg0IiIin7hdk4iIyIPs7GztH7PZDIPB4Paa63bNefPm4eKLL8YTTzyBrKwsJCcn49FHH4XVasW9996L1NRU5Obm4l//+pfTzzp27BjmzJmDlJQUpKWlYdasWTh8+PCJ/cJERNRjMMgjIiIKoS+//BIlJSX4+uuv8Ze//AWPPPIILrjgAqSkpGDz5s1YuHAhFi5ciKKiIgBAS0sLpk+fjoSEBHz99dfYsGEDEhIS8Ktf/QodHR1h/jZERNQdMcgjIiIKodTUVPz1r3/F4MGDcf3112Pw4MFoaWnBAw88gIEDB+L+++9HVFQUvvnmGwDAihUrYDQa8dJLL2HEiBEYOnQoXnnlFRw9ehTr168P75chIqJuKSLcF0BERNSTDBs2DEaj43eoWVlZGD58uPbcZDIhLS0NFRUVAIBt27bhwIEDSExMdDpPW1sbCgsLT8xFExFRj8Igj4iIKIQiIyOdnhsMBo+v2e12AIDdbse4ceOwfPlyt3NlZGT8chdKREQ9FoM8IiKiMBo7diz+/e9/IzMzE0lJSeG+HCIi6gFYk0dERBRGc+fORXp6OmbNmoX//ve/OHToEL766ivcfvvtKC4uDvflERFRN8Qgj4iIKIzi4uLw9ddfo0+fPrj00ksxdOhQXH/99WhtbWVmj4iIOoXD0ImIiIiIiHoQZvKIiIiIiIh6EAZ5REREREREPQiDPCIiIiIioh6EQR4REREREVEPwiCPiIiIiIioB2GQR0RERERE1IMwyCMiIiIiIupBGOQRERERERH1IAzyiIiIiIiIehAGeURERERERD0IgzwiIiIiIqIehEEeERERERFRD/L/ASX8ECf4Gq5HAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "ax.plot(df['co2'])\n",
    "ax.set_xlabel('Time')\n",
    "ax.set_ylabel('CO2 concentration (ppmw)')\n",
    "\n",
    "fig.autofmt_xdate()\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4c501b13",
   "metadata": {},
   "source": [
    "## Modeling "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "53b54b32",
   "metadata": {},
   "outputs": [],
   "source": [
    "train = df[:-104]\n",
    "test = df[-104:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "19864972",
   "metadata": {},
   "outputs": [],
   "source": [
    "from statsmodels.tsa.forecasting.theta import ThetaModel\n",
    "\n",
    "def rolling_forecast(df: pd.DataFrame, train_len: int, horizon: int, window: int, method: str) -> list:\n",
    "    \n",
    "    total_len = train_len + horizon\n",
    "    end_idx = train_len\n",
    "\n",
    "    if method == 'last_season':\n",
    "        pred_last_season = []\n",
    "        \n",
    "        for i in range(train_len, total_len, window):\n",
    "            last_season = df[:i].iloc[-window:].values\n",
    "            pred_last_season.extend(last_season)\n",
    "            \n",
    "        return pred_last_season\n",
    "    \n",
    "    elif method == 'theta':\n",
    "        pred_theta = []\n",
    "        \n",
    "        for i in range(train_len, total_len, window):\n",
    "            tm = ThetaModel(endog=df[:i], period=52)\n",
    "            res = tm.fit()\n",
    "            predictions = res.forecast(window)\n",
    "            pred_theta.extend(predictions)\n",
    "            \n",
    "        print(res.summary())\n",
    "\n",
    "        return pred_theta"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "57f6667b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                              ThetaModel Results                              \n",
      "==============================================================================\n",
      "Dep. Variable:                    co2   No. Observations:                 2232\n",
      "Method:                       OLS/SES   Deseasonalized:                   True\n",
      "Date:                Sat, 29 Oct 2022   Deseas. Method:         Multiplicative\n",
      "Time:                        15:52:54   Period:                             52\n",
      "Sample:                    03-29-1958                                         \n",
      "                         - 12-30-2000                                         \n",
      "   Parameter Estimates    \n",
      "==========================\n",
      "           Parameters     \n",
      "--------------------------\n",
      "b0    0.025468131021064096\n",
      "alpha   0.6611560978423418\n",
      "--------------------------\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>co2</th>\n",
       "      <th>pred_last_season</th>\n",
       "      <th>pred_theta</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2000-01-08</th>\n",
       "      <td>368.5</td>\n",
       "      <td>367.8</td>\n",
       "      <td>368.688671</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-15</th>\n",
       "      <td>369.0</td>\n",
       "      <td>367.8</td>\n",
       "      <td>368.791990</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-22</th>\n",
       "      <td>369.8</td>\n",
       "      <td>368.3</td>\n",
       "      <td>368.986970</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-29</th>\n",
       "      <td>369.2</td>\n",
       "      <td>369.2</td>\n",
       "      <td>369.111453</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-02-05</th>\n",
       "      <td>369.1</td>\n",
       "      <td>369.1</td>\n",
       "      <td>369.424445</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              co2  pred_last_season  pred_theta\n",
       "2000-01-08  368.5             367.8  368.688671\n",
       "2000-01-15  369.0             367.8  368.791990\n",
       "2000-01-22  369.8             368.3  368.986970\n",
       "2000-01-29  369.2             369.2  369.111453\n",
       "2000-02-05  369.1             369.1  369.424445"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "TRAIN_LEN = len(train)\n",
    "HORIZON = len(test)\n",
    "WINDOW = 52\n",
    "\n",
    "pred_last_season = rolling_forecast(df, TRAIN_LEN, HORIZON, WINDOW, 'last_season')\n",
    "pred_theta = rolling_forecast(df, TRAIN_LEN, HORIZON, WINDOW, 'theta')\n",
    "\n",
    "test = test.copy()\n",
    "\n",
    "test.loc[:, 'pred_last_season'] = pred_last_season\n",
    "test.loc[:, 'pred_theta'] = pred_theta\n",
    "\n",
    "test.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "c8c9332b",
   "metadata": {},
   "outputs": [],
   "source": [
    "from statsmodels.tsa.holtwinters import ExponentialSmoothing\n",
    "\n",
    "def rolling_forecast(df: pd.DataFrame, train_len: int, horizon: int, window: int, method: str) -> list:\n",
    "    \n",
    "    total_len = train_len + horizon\n",
    "    end_idx = train_len\n",
    "\n",
    "    if method == 'last_season':\n",
    "        pred_last_season = []\n",
    "        \n",
    "        for i in range(train_len, total_len, window):\n",
    "            last_season = df[:i].iloc[-window:].values\n",
    "            pred_last_season.extend(last_season)\n",
    "            \n",
    "        return pred_last_season\n",
    "    \n",
    "    elif method == 'theta':\n",
    "        pred_theta = []\n",
    "        \n",
    "        for i in range(train_len, total_len, window):\n",
    "            tm = ThetaModel(endog=df[:i], period=52)\n",
    "            res = tm.fit()\n",
    "            predictions = res.forecast(window)\n",
    "            pred_theta.extend(predictions)\n",
    "            \n",
    "\n",
    "        return pred_theta\n",
    "            \n",
    "    elif method == 'tes':\n",
    "        pred_tes = []\n",
    "        \n",
    "        for i in range(train_len, total_len, window):\n",
    "            tes = ExponentialSmoothing(\n",
    "                df[:i],\n",
    "                trend='add',\n",
    "                seasonal='add',\n",
    "                seasonal_periods=52,\n",
    "                initialization_method='estimated'\n",
    "            ).fit()\n",
    "            \n",
    "            predictions = tes.forecast(window)\n",
    "            pred_tes.extend(predictions)\n",
    "\n",
    "    return pred_tes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "121bfae9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>co2</th>\n",
       "      <th>pred_last_season</th>\n",
       "      <th>pred_theta</th>\n",
       "      <th>pred_tes</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2000-01-08</th>\n",
       "      <td>368.5</td>\n",
       "      <td>367.8</td>\n",
       "      <td>368.688671</td>\n",
       "      <td>368.923703</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-15</th>\n",
       "      <td>369.0</td>\n",
       "      <td>367.8</td>\n",
       "      <td>368.791990</td>\n",
       "      <td>368.947827</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-22</th>\n",
       "      <td>369.8</td>\n",
       "      <td>368.3</td>\n",
       "      <td>368.986970</td>\n",
       "      <td>369.229239</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-29</th>\n",
       "      <td>369.2</td>\n",
       "      <td>369.2</td>\n",
       "      <td>369.111453</td>\n",
       "      <td>369.630767</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-02-05</th>\n",
       "      <td>369.1</td>\n",
       "      <td>369.1</td>\n",
       "      <td>369.424445</td>\n",
       "      <td>369.881112</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              co2  pred_last_season  pred_theta    pred_tes\n",
       "2000-01-08  368.5             367.8  368.688671  368.923703\n",
       "2000-01-15  369.0             367.8  368.791990  368.947827\n",
       "2000-01-22  369.8             368.3  368.986970  369.229239\n",
       "2000-01-29  369.2             369.2  369.111453  369.630767\n",
       "2000-02-05  369.1             369.1  369.424445  369.881112"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pred_tes = rolling_forecast(df, TRAIN_LEN, HORIZON, WINDOW, 'tes')\n",
    "\n",
    "test.loc[:, 'pred_tes'] = pred_tes\n",
    "\n",
    "test.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "0a1af69f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "ax.plot(df['co2'])\n",
    "ax.plot(test['co2'], 'b-', label='actual')\n",
    "ax.plot(test['pred_last_season'], 'r:', label='baseline')\n",
    "ax.plot(test['pred_theta'], 'g-.', label='Theta')\n",
    "ax.plot(test['pred_tes'], 'k--', label='TES')\n",
    "\n",
    "ax.set_xlabel('Time')\n",
    "ax.set_ylabel('CO2 concentration (ppmv)')\n",
    "ax.axvspan('2000-01-08', '2001-12-29', color='#808080', alpha=0.2)\n",
    "\n",
    "ax.legend(loc='best')\n",
    "\n",
    "ax.set_xlim('1998-03-07', '2001-12-29')\n",
    "\n",
    "fig.autofmt_xdate()\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b03a6c5a",
   "metadata": {},
   "source": [
    "## Evaluation "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "22aac8a2",
   "metadata": {},
   "outputs": [],
   "source": [
    "def mape(y_true, y_pred):\n",
    "    return round(np.mean(np.abs((y_true - y_pred) / y_true)) * 100, 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "ef22a629",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.36 0.28 0.12\n"
     ]
    }
   ],
   "source": [
    "mape_baseline = mape(test['co2'], test['pred_last_season'])\n",
    "mape_theta = mape(test['co2'], test['pred_theta'])\n",
    "mape_tes = mape(test['co2'], test['pred_tes'])\n",
    "\n",
    "print(mape_baseline, mape_theta, mape_tes)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "2d9831bb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "x = ['Baseline', 'Theta', 'TES']\n",
    "y = [mape_baseline, mape_theta, mape_tes]\n",
    "\n",
    "ax.bar(x, y, width=0.4)\n",
    "ax.set_xlabel('Exponential smoothing models')\n",
    "ax.set_ylabel('MAPE (%)')\n",
    "ax.set_ylim(0, 1)\n",
    "\n",
    "for index, value in enumerate(y):\n",
    "    plt.text(x=index, y=value + 0.05, s=str(value), ha='center')\n",
    "    \n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "bf2eab19",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
